Find the volume of the cone

Find The Volume Of The Cone

Answers

Answer 1

Answer:

Step-by-step explanation:

slant height l = 14cm

r = 6 cm

Use Pythagorean theorem.

h² + 6² = 14²

h² + 36 = 196

h² = 196 - 36

h² = 160

h = √160

h = 12.65 cm

[tex]Volume=\frac{1}{3}\pi r^{2}h\\\\=\frac{1}{3}*3.14*6*6*12.64\\\\[/tex]

= 476.61 cubic cm

Answer 2

Answer:

The volume of cone is 476.61 cm³.

Step-by-step explanation:

Solution :

As per given question we have provided :

[tex]\green\star[/tex] Slant height = 14 cm[tex]\green\star[/tex] Radius = 6 cm

[tex]\begin{gathered}\end{gathered}[/tex]

Firstly, finding the height of cone by substituting the values in the formula :

[tex]{\longrightarrow{\pmb{\sf{l = \sqrt{(r)^{2} + {(h)}^{2} }}}}}[/tex]

[tex]\orange\star[/tex] Slant height (l) = 14 cm[tex]\orange\star[/tex] Radius (r) = 6 cm[tex]\orange\star[/tex] Height (h) = ?

Substituting all the given values in the formula to find the height of cone :

[tex]\begin{gathered}\begin{array}{l}\quad{\longrightarrow{\sf{l = \sqrt{(r)^{2} + {(h)}^{2}}}}}\\\\\quad{\longrightarrow{\sf{{(l)}^{2} =(r)^{2} + {(h)}^{2}}}}\\\\\quad{\longrightarrow{\sf{{(14)}^{2} =(6)^{2} + {(h)}^{2}}}}\\\\\quad{\longrightarrow{\sf{{(14 \times 14)} =(6 \times 6) + {(h)}^{2}}}}\\\\\quad{\longrightarrow{\sf{{(196)} =(36) + {(h)}^{2}}}}\\\\\quad{\longrightarrow{\sf{ {(h)}^{2} = 196 - 36}}}\\\\\quad{\longrightarrow{\sf{ {(h)}^{2} = 160}}}\\\\\quad{\longrightarrow{\sf{h = \sqrt{160}}}}\\\\\quad{\longrightarrow{\sf{h = 12.65}}}\\\\\quad{\star{\underline{\boxed{\sf{\purple{h = 12.65}}}}}} \end{array}\end{gathered}[/tex]

Hence, the height of cone is 12.65 cm.

[tex]\begin{gathered}\end{gathered}[/tex]

Now, finding the volume of cone by substituting the values in the formula :

[tex]\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]

[tex]\orange\star[/tex] V = Volume [tex]\orange\star[/tex] π = 3.14 [tex]\orange\star[/tex] r = radius [tex]\orange\star[/tex] h = height

Substituting all the given values in the formula to find the volume of cone :

[tex]\begin{gathered}\begin{array}{l}\quad\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}\\\\\quad\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(6)}^{2} 12.65}}\\\\\quad\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(6 \times 6)}12.65}}\\\\\quad\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(36)}12.65}}\\\\\quad\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{\cancel{3}}\times 3.14 \times \cancel{36}\times 12.65}}\\\\\quad\longrightarrow{\sf{Volume_{(Cone)} = 3.14 \times 12 \times 12.65}}\\ \\\quad\longrightarrow{\sf{Volume_{(Cone)} = 476.61 \: {cm}^{3}}}\\\\\quad\star{\underline{\boxed{\sf{\pink{Volume_{(Cone)} = 476.61 \: {cm}^{3}}}}}}\end{array}\end{gathered}[/tex]

Hence, the volume of cone is 476.61 cm³.

[tex]\rule{300}{2.5}[/tex]


Related Questions

On a bike ride, Aaron travels 6 miles east of his apartment and then 8 miles north. If, at this point, Aaron decided to travel a straight line distance back to his apartment, how many total miles would he have traveled?

Answers

Answer:

10 miles

Step-by-step explanation:

Use pythagorean theorem:

[tex]6^{2} +8^{2} = 10^{2}[/tex]

Express the shaded area as a fraction, a decimal, and as a percent of the whole .

Answers

Answer:

Fraction- 44/100 or 11/25

decimal- 0.44

Percent- 44%

Please help ASAP! I will give you brainliest!!!

Greg rode his bike 30 miles to the summit averaging 10 miles
per hour. Then, he rode back down averaging 30 miles per hour. How
far did he ride? How long did it take him? What was his average speed?
Explain why Greg’s average speed is not 20 miles per hour.

Answers

Answer:

greg is riding his bike fast

Step-by-step explanation:

Answer:

Step-by-step explanation:  im going to break down that is all 30 miles 10 miles per hours so it takes ''3 ''hours to reach the top  so it took 4 houser for him to  travel all his way lol so he rid  30 miles so thair

dont give me brainiest

3/7 de los estudiantes en una escuela están en sexto grado. Si la escuela tiene x estudiantes, escriba una expresión para el número de estudiantes de sexto grado en términos de x.

Answers

uno dos tres quatro cinco ceis ceite ocho nuevo deis

Answer:

hard

Step-by-step explanation:

why is completing the square called 'completing the square'?

Answers

Answer:

I'm not too sure, since I'm doing the same thing in math now too. I think it's since you're adding another number that is a perfect square in order to factor the quadratic equation.

Step-by-step explanation:

A dad buys a ball and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $8.50. The dad spends a total of $279 for the balls and team cups. Write an equation that models the situation with u, the cost of one ball.

I don't know if its 279 = 8.50 + 10u Help

Answers

Step-by-step explanation:

shhhhh I don't want to go back into this country and climate it all in the world and bottom of all the sun and the world in which I am a place to go for a long period

Diego has $100 and spends ¼ of it. How much does he have left?

Answers

Answer:

$75

Step-by-step explanation:

Answer:75

Step-by-step explanation:

What is 7 squared in standard form

Answers

Answer:

49

Step-by-step explanation:

7 times 7 is 49.

standard form of 7 squared is [tex]7^{2}[/tex].

What is Standard Form?

Standard form is a way of writing a number, so it is easier to read. It is often used for very large or very small numbers. We use exponents to represent such numbers in standard form.

7 squared is written in the standard form as,

[tex]7^{2}[/tex] , where 7 is base and 2 is the exponent.

Learn more about standard form here:

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What is the reciprocal of 0.125

Answers

1/0.125
I really hope this helps

calcule o valor numérico da expressão a seguir -2/3+1-3/2.8/9​

Answers

Answer:

The calculated value is "0.214"

Step-by-step explanation:

Given expression :

[tex]\bold {\frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}} }\\[/tex]

solution:

[tex]\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{9}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{\frac{2.8}{\frac{9}{1}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{3}{2.8} \times \frac{1}{9}}}\\\\\Rightarrow \frac{-2}{3}+ 1 -\frac{1}{8.4}\\\\\Rightarrow \frac{-16.8 + 25.2- 3}{25.2}\\\\\Rightarrow \frac{5.4}{25.2}\\\\\Rightarrow 0.214[/tex]

Y=1/2x-6
X=-4
What is the solution to the system of equations
A. (-8,-4)
B.(-4,-8)
C.(-4,4)
D.(4,-4)

Answers

Answer:

  B.  (-4, -8)

Step-by-step explanation:

Put -4 into the first equation where x is, then evaluate. You will find ...

  y = (1/2)(-4) -6 = -2 -6 = -8

Then the point that satisfies both equations is ...

  (x, y) = (-4, -8) . . . . matches choice B

___

You can eliminate choices A and D, because they don't have -4 for the x-value.

Two lines defined by the equations $y = mx + 4$ and $y = 3x + b$, where $m$ and $b$ are constants, intersect at the point $(6, 10)$. What is the value of $b + m$?

Answers

Answer:

-7

Step-by-step explanation:

The two lines intersect at the point (6,10), so this point belongs to both lines. This means that if we use the value of x = 6 in the lines, we will find y = 10

So we can use this point to find the values of b and m:

y = mx + 4

10 = 6m + 4

6m = 6

m = 1

y = 3x + b

10 = 3*6 + b

b = 10 - 18 = -8

So the value of b + m is -8 + 1 = -7

After substituting the intersection point (6, 10) into both line equations and solving for m and b respectively, we find that the value of b + m is -7.

To find the value of b + m when two lines intersect at the point (6, 10), we can substitute the coordinates of the intersection point into both line equations. Since the coordinates (6, 10) must satisfy both equations, we have:

For the first equation y = mx + 4:
10 = m*6 + 4,
which simplifies to:
m = 1.

For the second equation y = 3x + b:
10 = 3*6 + b,
which simplifies to:
b = -8.

Having both values, we can now calculate b + m:
b + m = (-8) + 1 = -7.

The value of b + m is -7, which represents the sum of the y-intercept of the second line and the slope of the first line.

HELP ASAP 1st answer gets brainlyest


Which of the following symbols indicates that a value is included in a solution set.




=

Answers

Answer:

The answer would be the B . I assume your talking about a number line.

Step-by-step explanation:

Answer:

○  is your answer

Step-by-step explanation:

brainliest please

Out of the 30 days in June, you run 13 days and swim 6 days. You lift weights 7 days and ride a bike 4 days. If you make a pie chart to show this data, how many degrees of the circle should represent swimming?

Answers

Answer:

3. 72 degrees

Step-by-step explanation:

We can convert the values to percentage values and since a circle is 360°, we can multiply the percentages with 360° to get the degrees. The total of day is all the the things added up:

= 13+6+7+4=30

Percent swimming:

=(6/30) times 360= 72

Answer is 72 degrees

Answer:

Step-by-step explanation:

swim = 6/30=  0.2 -> 0.2*360 = 72 degree

run = 13/30= 0.433 -> 0.4333 *360 = 156 degree

lift weight = 7/30 = 0.23333 -> 0.23333 *360 = 84 degree

ride bike = 4/30 =  0.133333 -> 0.133333 *360 = 48 degree

Which Pythagorean identity is correct?

Answers

Answer:

2nd one is the correct answer

Step-by-step explanation:

[tex] { \tan}^{2} ( \theta) + 1 = { \sec}^{2} ( \theta) \\ [/tex]

Answer:

b

Step-by-step explanation:

∠1 and ∠2 form a straight angle. ∠1 has a measure of 28°.
What is the measure of ∠2? PLZ HELP

Answers

Answer:

∠2 = 152

Step-by-step explanation:

A straight angle should always equal 180, and that is really the key to how we answer this problem. That means that ∠1 and ∠2 are supplementary, and add up to 180°.

That means that 180-28, will give us our other angle.

Answer:

152°

Step-by-step explanation:

Angles on a straight line add up to 180°

Angle 2 + 28 = 180

Angle 2 = 180 - 28

= 152°

A quiz has eight multiple choice questions with four options for each ( A B C & D ) how many ways are there to answer the question

Answers

Answer:

1680 ways.

Step-by-step explanation:

This question is solved using Permutation formula.

Permutation formula is given as

nPr = n! / (n -r)!

In the above question we are to find how many ways we can answer 8 multiple choice questions with 4 options(A, B,C,D)

Therefore,

n = 8 multiple choice questions

r = 4 options

nPr = n! / (n - r)!

8P4 = 8! / ( 8 - 4) !

8P4 = 8! / 4!

8P4 = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1)

8P4 = 40320 / 24

8P4 = 1680 ways

Therefore, the number of ways to answer 8 multiple choice questions with 4 options (A, B, C, D) for each is 1680 ways.

Answer:

65,536 ways.

Step-by-step explanation:

The Fundamental Counting Principle states that:

"If decision M can be made m ways and decision N can be made n ways, then the two decisions can be made m⋅n ways"

Therefore, we can create a model of the eight questions by drawing eight blanks:

_ _ _ _ _ _ _ _

Then, filling in each "question" with the number of options for each, which is four:

4 4 4 4 4 4 4 4

And finally, we can multiply the fours together, which would be 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4 or 4⁸, which is equal to 65,536.

I hope this helps! :D

evaluate the expression
9. 225​

Answers

The answer is 3/15..

What is a universal set​

Answers

Answer:a universal set is the set containing all objects or elements and of which all other sets are subsets.

Step-by-step explanation:

Answer:

A set containing all objects or elements and of which all other sets are subsets.

Step-by-step explanation:

— 3 — 5 — 6g = 11 – 3g

Answers

Answer:

- (19/3)

Step-by-step explanation:

-3-5-6g=11-3g

-8-6g=11-3g

-3g=19

g= - (19/3)

In Circle M, points A, B, and C are located on the circle such that measure angle CBM equals to 34 degrees. What represents angle CAB

Answers

Answer:

Angle CAB=56 degrees

Step-by-step explanation:

See the attached image for the diagram.

In triangle BMC

|BM|=|MC| (Radii of a Circle)

Therefore, triangle BMC is an Isosceles Triangle; and

[tex]\angle CBM=\angle BCM=34^\circ[/tex]

[tex]\angle CBM+\angle BCM+\angle BMC=180^\circ$ (sum of \angle s$ in a triangle)\\34^\circ+34^\circ+\angle BMC=180^\circ\\\angle BMC=180^\circ-68^\circ=112^\circ[/tex]

Next,

[tex]\angle BMC=2\angle CAB $(Angle at center is twice angle at circumference)\\112^\circ=2\angle CAB\\\angle CAB=112^\circ \div 2\\\angle CAB=56^\circ[/tex]

Answer:

The answer is Angle CAB=56 degrees

Step-by-step explanation:

Simplify the radical expression. Use absolute value symbols if needed.
√400x^2y^6

A. 20|x|y^3
B. 20|x|y^4
C. 20|xy^3|
D. 20xy^4

Answers

Answer: CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Step-by-step explanation: HOPE IT HELPS YOU

To save for a car when he turns 18, Pascale deposited $500 each year into a savings account with a 7.5% interest rate compounded annually.
Using the formula A = P (1 + r) Superscript t, what is the value of the account at the end of the fifth year?
A.$3,071.92
B.$3,122.00
C.$3,851.77
D.$4,140.65

Answers

Answer:

$3122.00

Step-by-step explanation:

Since we have been given that

Initial amount deposited into a savings account each year = $500

Rate of interest compounded annually = 7.5%

Number of years = 5 years

So, Amount in the account at the end of the fifth year would be:

A = P( 1+r )^5} - 1

500{(1+7.5/100) - 1 }÷ ( 7.5/100)} (1+7.5/100)

500{( 1.075^5 -1/0.075} × 1.075

500( 1.4356 -1/0.075) × 1.075

500( 0.4356/0.075) × 1.075

500(5.80839)×1.075

= 3122.01

$3122.00

1. Write the ratio in the simplest form. (1 point)
45:15
9:3
3:1
1:3
4:1

Answers

Answer:

45:15=9:3=3:1

9:3=3:1

3:1 stays the same.

1:3 stays the same.

4:1 stays the same.

The simplify ratios such as 45:15 and 9:3. The simplified form of 45:15 and 9:3 is 3:1. The correct option is B.

To write the ratio 45:15 in the simplest form, you have to divide both numbers by their greatest common divisor (GCD), which in this case is 15.

So, 45 divided by 15 is 3, and 15 divided by 15 is 1, which gives us the simplified ratio of 3:1.

[tex]\frac{45}{15} = \frac{3}{1}[/tex]

For the ratio 9:3, again, we divide both numbers by their GCD, which is 3, resulting in the simplified ratio 3:1.

The ratio 3:1 is already in its simplest form.

1:3 is the simplest form and 4:1 is the simplest fraction.

Find the value of x.
A.71
B.72
C.73
D.75

Answers

Answer:

73

Step-by-step explanation:

When you have a line intersecting another line, the angles produced by the intersection will be equal to 180.

This means that  (-39 + x) + 146 = 180.  Solve for x.

(-39 + x) + 146 = 180

-39 + x = 34

x = 73

You discovered 1000 grams of an unknown element called Coolium 23 that has a half life 23 days. How long will it take for you to have 600 grams remaining.

Answers

Answer:

13.8 days

Step-by-step explanation:

In this case we can solve it by means of a rule of three, knowing the amount of life for 1000 grams, it must be proportional for 600 grams, like this:

grams   days

 1000     23

 600        x

x = 600 * 23/1000

x = 13.8

which means that for the 600 grams it would be an average life of 13.8 days.

Which line appears to have the same slope as the equation x-y=4 and has a y-intercept that is 2 units above the y-intercept of the given equation?

Answers

Answer:

B

Step-by-step explanation:

First, find the y-intercept form of the equation:

x - y = 4

x - x - y = 4 - x

-y = 4 - x

-y = -x + 4

-y/-1 = -x/-1 + 4/-1 (to get the y positive)

y = x - 4

The y-intercept is -4. This means that a y-intercept two units above 4 would be -2. Whichever line crosses the y axis at the value of -2 is the answer (line B)

hope this helps :)

What is the solution to the equation below?
5 - n/2 = 12

Answers

Step-by-step explanation:

5 - n/2 = 12

10/2 - n/2 = 12

n = (12 × (-2)) + 10

n = (-24) + 10

n = -14

Let's prove it :

[tex]5 - ( - \frac{14}{2} ) \\ = \frac{10}{2} + \frac{14}{2} \\ = \frac{24}{2} \\ = 12[/tex]

Conclusion :

5 - n/2 = 12

5 - (-14/2) = 12

and

n = -14

The table shows the prices of 8 different treadmills at a sporting goods
store. This week the store is having a 50% off sale on all treadmills. What
are the mean, median, mode and range of the discounted prices?
$640 $810||$755 $810
$1175 $900 $1080 $530
mean: $736.25, median: $900; mode: $810; range: $645
mean: $837.50; median: $810; mode: $810; range: $645
mean: $368.13, median: $450; mode: $405; range: $322.50
mean: $418.75; median: $405; mode: $405; range: $322.50

Answers

Final answer:

The mean of the discounted prices is $736.25, the median is $810, the mode is $810, and the range is $645.

Explanation:

To find the mean of the discounted prices, we add up all the prices and divide by the total number of prices. In this case, the mean is $736.25 because (640 + 810 + 755 + 810 + 1175 + 900 + 1080 + 530) / 8 = 736.25.

To find the median of the discounted prices, we arrange the prices in ascending order and find the middle value. Since there are 8 prices, the median is the average of the 4th and 5th values, which are $810 and $810, respectively. So, the median is $810.

To find the mode of the discounted prices, we look for the value that appears most frequently. In this case, $810 appears twice, which is more often than any other price. Therefore, the mode is $810.

To find the range of the discounted prices, we subtract the smallest price from the largest price. In this case, the range is $645 because $1175 - $530 = $645.

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Câte diagonale are un poligon cu 5 laturi, dar cu 6 laturi?

Answers

Your question isn't clear. But I infer this is the clear rendering of it;

How many diagonals does a polygon have with 5 sides, but with 6 sides?

Answer:

a. For 5 sides= 5

b. For 6 sides= 9

Step-by-step explanation:

Remember, this is the formula to calculate the number of diagonals of a polygon;

n (n-3) / 2 where n is the sides.

Thus,

for 5 sides= 5 (5-3) /2

= 5 (2) /2 = 10/2= 5

for 6 sides= 6 (6-3) /2

= 6 (3) /2 = 18/2= 9

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Can wecontinue to despoil our environment with long-livedradioactive materials that are scattered to the wind andembedded in our precious soil, randomly exposing largepopulations, and foisting health impacts on unsuspectingfuture generations who have no choice in this matter?We may choose to do so. But if we do, I am quite surethat our children and grandchildren will roundlycondemn us for our lack of foresight and our selfishness.As they struggle to deal with a noiconon environmentappeal to emotion because the passage describesthe potential impact on childrenbandwagon because the author states thateveryone agrees on this issuead hominem because the author questions thehonesty of scientistsfalse dilemma because it states that we must endthe use of nuclear energy or dieappeal to emotion because it describes possiblecatastrophe 1. Calculate the velocity of a 0.8 kg kitten with a forward momentum of 5 kg*m/s.2. The net forward force on the propeller of a 3.2 kg model airplane is 7 N. What is the acceleration of the airplane?FIRST PERSON TO RESPOND WILL GET THE BRAINLIEST ANSWER!! ) The Healthy Breakfast data file contains nutritional information and grocery shelf location for 77 breakfast cereals. Current research states that adults should consume no more than 30 percent of their calories in the form of fat, they need about 50 grams (women) or 63 grams (men) of protein daily, and should provide for the remainder of their caloric intake with complex carbohydrates. One gram of fat contains 9 calories an d carbohydrates and proteins contain 4 calories per gram. A "good" diet should also contain 20-35 grams of dietary fiber. The data include cereal name, cereal manufacturer, type (hot or cold), number of calories per serving, grams of protein, grams of fat, milligrams of sodium, grams of fiber, grams of carbohydrates, grams of sugars, milligrams of potassium, typical percentage of the FDAs RDA of vitamins, the weight of one serving, the number of cups in one serving, and the shelf location (1,2 or 3 for bottom, middle or top). A value of -1 for nutrients indicates a missing observation. For marketing reasons, note where the kids cereals are located on the shelves compared to healthy cereals. You wouldnt put Frosted Flakes on the top shelf out of kids reach would you? A variable named "rating" was calculated by Consumer Reports. Capn Crunch has the lowest rating and All Bran with Extra Fiber has the highest rating. Surprisingly, many "healthy" cereals had low ratings. Cereals on the middle shelf in supermarkets tended to have the lowest ratings. Steam Workshop Downloader