the volume of a cylinder is 1,356.48^ feet. If the diameter is 12 feet, calculate the height of the cylinder.

Answers

Answer 1

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

         V

h = ----------

         πr²

Inserting the known quantities results in:

         V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

         πr²         3.14159 (6 ft)²

   =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

Answer 2

Final answer:

To find the height of the cylinder with a volume of 1,356.48 cubic feet and a diameter of 12 feet, divide the volume by the area of the base (calculated with a radius of 6 feet) to get approximately 11.99 feet.

Explanation:

To calculate the height of a cylinder when the volume and diameter are given, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we have a volume of 1,356.48 cubic feet and a diameter of 12 feet, meaning the radius is 6 feet (half of the diameter). So we can plug these values into our formula to solve for h.

First, calculate the area of the base (πr²): 3.14159 × (6 feet)² = 3.14159 × 36 = 113.0976 square feet. Then we divide the given volume by this area to find the height: 1,356.48 cubic feet / 113.0976 square feet = 11.99 feet. Therefore, the final answer for the height of the cylinder is approximately 11.99 feet.


Related Questions

2+2 soidkdidjjdhfjhfhdjdjdjjd inndjsjjsjdjdudididi

Answers

Answer:

2+2=4

Step-by-step explanation:

If you have 2 apples and add 2 more apples you have 4.

LOL I had to do an apple example

Find the values of x and y. Write your answer in simplest form.

Answers

Answer:

y = 6√3 and x = 6

Step-by-step explanation:

this is a 30-60-90 triangle.  The side opposite the 30° angle corresponds to the side of length 1  in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.

To find y, write and solve an equation of ratios, as follows:

adj side           adj side      (adjacent to the 30° angle)

    y                       √3

 hypo               hypo    then (cross multiplying):  2y = 12√3, and

    12                     2       y = 6√3

If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):

[12]² = [6√3]² - x²  ↔ 144 = 36(3) - x²   ↔  36 = x².  So x = 6 here.

Answer:

x = 6

y ≈ 10. 40

Step-by-step explanation:

Using the SOHCAHTOA principle we can solve for x and y since the angle is known and it is a right angle triangle.

hypotenuse = 12

adjacent = x

opposite = y

cos 60° = adjacent/hypotenus

cos 60° = x/12

cross multiply

x = 12 cos 60°

x = 12 × 0.5

x = 6

Finding y

sin 60° = opposite/hypotenuse

sin 60° = y/12

cross multiply

y = 12 sin 60°

y  = 12 × 0.8660254038

y =  10.392304845

y ≈ 10. 40

What is the equation of the graphed function?

Enter your answer in the box.
f(x)=

Answers

F(x)=(x+1)^2 that’s the answer

Answer:

[tex]f(x)=(x+1)^2[/tex]

Step-by-step explanation:

We have been given graph of a function. We are asked to find the equation of the graphed function.

Upon looking at our given graph, we can see that the graph represents a parabola.

We know that vertex form of a parabola is: [tex]y=a(x-h)^2+k[/tex], where, (h,k) represents the vertex of parabola.

We can see that vertex of our given parabola is at point [tex](-1,0)[/tex], so substituting the coordinates of vertex of parabola, we will get:

[tex]y=a(x--1)^2+0[/tex]

[tex]y=a(x+1)^2[/tex]

Now we will find the value of a using coordinates of point (0,1) in above equation.

[tex]1=a(0+1)^2[/tex]

[tex]1=a(1)^2[/tex]

[tex]1=a*1[/tex]

[tex]1=a[/tex]

Therefore, the equation of our graphed function would be [tex]f(x)=(x+1)^2[/tex]

Help me please, please help

Answers

Answer:

Heyo. The answer is 60.48

Step-by-step explanation:

This is pretty easy, all you have to do is multiply the length, height, and width. Remember this. LxHxW. Thats is the formula. You do 4.2 cm, multiplied by 3.2 cm, then multiply that by 4.5 cm. Hope this helps! :)

Javier creates a rectangular painting.The painting is 3feet long and more than 2 feet wide.The expressions 3(2+x) represents the area of the painting.Write an expression equivalent to 3(2+x)​

Answers

Answer:

are there any answer choices to chose from. if so pls lmk the options. if not lmk and ill be happy to help

Step-by-step explanation:

3(x+2) is the answer

Which of these numbers is irrational?

Answers

An irrational number is not ending and non repeating

Square root of 16=4

Square root of 100=10

Square root of 36=6

These are all rational

The square root of 15=3.872983......

The answer is square root of 15

Answer:

B. [tex]\sqrt{15}[/tex]

Step-by-step explanation:

We have been given four numbers. We are asked to find the irrational number from our given number.

A. [tex]\sqrt{16}[/tex]

[tex]\sqrt{16}=4[/tex]

Since we can write 4 as a fraction, therefore, [tex]\sqrt{16}[/tex] is a rational number.

B. [tex]\sqrt{15}[/tex]

[tex]\sqrt{15}=3.8729833462[/tex]

Since our given number has non-terminating non repeating decimal, therefore, [tex]\sqrt{16}[/tex] is an irrational number.

C. [tex]\sqrt{36}[/tex]

[tex]\sqrt{36}=6[/tex]

Since we can write 6 as a fraction, therefore, [tex]\sqrt{36}[/tex] is a rational number.

D. [tex]\sqrt{100}[/tex]

[tex]\sqrt{100}=10[/tex]

Since we can write 10 as a fraction, therefore, [tex]\sqrt{100}[/tex] is a rational number.

Find the volume of the cylinder. Rounded to the nearest tenth 9cm and 2cm​

Answers

V=πr2h

V=3.14(9)2(2)

V=3.14(81)(2)

V=254.34(2)

V=508.68

Show me the graph that approximate solution to the equation-2x +8=(.25)x

Answers

I hope this we help you

Answer:

The value of x is 3.555556 and the graph is attached in image

59 =7r+3 what is the answer

Answers

Answer:

r = 8

Step-by-step explanation:

59 = 7r + 3

Switch sides:

7r + 3 = 59

Subtract 3 from both sides:

7r = 56

Divide both sides by 7:

r = 8

Answer:

r = 8

Step-by-step explanation:

59 = 7r+3

subtract both sides by 3

56 = 7r

divide both sides by 7

8 = r

1.An electrician cut 5 1/2 feet of wire into three equal sections. After cutting, how long was each piece?

2.Pete mixed 4 1/6 cups of popcorn with 3 5/6 cups of pretzels. He then divided the snack into bags with 3/4 cup in each. After dividing, how many bags of snack bags will Pete have?

Answers

Answer:

Part 1) [tex]1\frac{5}{6}\ ft[/tex]

Part 2) [tex]10\frac{2}{3}\ bags[/tex]

Step-by-step explanation:

Part 1)

step 1

Convert mixed number to an improper fraction

[tex]5\frac{1}{2}\ ft=\frac{5*2+1}{2}=\frac{11}{2}\ ft[/tex]

step 2

Divided the improper fraction by 3

[tex]\frac{(11/2)}{3}=\frac{11}{6}\ ft[/tex]

step 3

Convert to mixed number

[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}\ ft[/tex]

Part 2)

step 1

Convert mixed number to an improper fractions

[tex]4\frac{1}{6}\ cups\ popcorn=\frac{4*6+1}{6}=\frac{25}{6}\ cups\ popcorn[/tex]

[tex]3\frac{5}{6}\ cups\ pretzels=\frac{3*6+5}{6}=\frac{23}{6}\ cups\ pretzels[/tex]

step 2

Adds the two quantities

[tex]\frac{25}{6}+\frac{23}{6}=\frac{48}{6}=8\ cups[/tex]

step 3

Divide the total cups by 3/4 to find the number of bags

so

[tex]\frac{8}{(3/4)}=\frac{32}{3}\ bags[/tex]

step 4

Convert to mixed number

[tex]\frac{32}{3}\ bags=\frac{30}{3}+\frac{2}{3}=10+\frac{2}{3}=10\frac{2}{3}\ bags[/tex]

Which graph represents a bike traveling at a constant rate of 12 miles per hour

Answers

The graph that represents the line (y = 12x) is option C) and this can be determined by using the point-slope form of the line.

Given :

Bike traveling at a constant rate of 12 miles per hour.

The following steps can be used to determine the graph that represents a bike traveling at a constant rate of 12 miles per hour:

Step 1 - All the graphs in the option pass through the point (0,0). So, (0,0) is the point through which a line is pass through.

Step 2 - Another point is (1,12) through which line passes because it is given that bike traveling at a constant rate of 12 miles per hour.

Step 3 - The equation of the line that passes through the points (0,0) and (1,12) is given by:

[tex]\dfrac{y-0}{x-0}=\dfrac{12-0}{1-0}[/tex]

y = 12x

So, the graph that represents the line (y = 12x) is option C).

For more information, refer to the link given below:

https://brainly.com/question/2263981

What is the equation of the line that is perpendicular to the given line and passes through point (2,5)?

Answers

Answer:

[tex]\large\boxed{y=-\dfrac{1}{3}x+1}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)[/tex]

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=======================\\\\\text{We must find the slope of the given line.}\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the coordinates of the given points from the graph (0, 1) and (-3, 2)}\\\\m_1=\dfrac{2-1}{-3-0}=\dfrac{1}{-3}=-\dfrac{1}{3}[/tex]

[tex]\text{We have an equation:}\\\\y=-\dfrac{1}{3}x+b\\\\\text{From the coordinates of the point (0, 1) we have the y-intercept:}\ b=1.\\\\\text{Therefore we have the equation:}\\\\y=-\dfrac{1}{3}x+1[/tex]

5x−2y=305, x, minus, 2, y, equals, 30
Complete the missing value in the solution to the equation.
(8,(8,left parenthesis, 8, comma
))right parenthesis

Answers

Answer:

The missing value is 5

The solution is (8,5)

Explanation:

The given equation is:

5x - 2y = 30

An order pair is written as (x , y). We are given (8 , ?)

This means that we want to find the y value that corresponds to x=8

To do this, we will substitute with x=8 in the given equation and solve for y

This is done as follows:

5x - 2y = 30

5(8) - 2y = 30

40 - 2y = 30

2y = 10

y = 5

This means that at x=8 and y=5, the equation is satisfied

(8,5) is a solution to the given equation

Hope this helps :)

Answer:

(8, 5)

Step-by-step explanation:

The given equation is:

5x - 2y = 30

We have to complete the given incomplete solution set (8, ?)

The first point in the ordered pair is always the x-value. So we are given an x-value and we have to find the corresponding y-value from the function.

Using x = 8 in the given function, we get:

5(8) - 2y = 30

40 - 2y = 30

- 2y = 30 - 40

- 2y = -10

y = 5

So, the value of y for x = 8 is 5. The complete ordered pair that satisfy the equation will be (8, 5)

Which expression is equivalent 219 X minus 6X +2 And why?

Answers

19x - 6x + 2

Two terms have an X in them, so you can combine them :

19x -6x = 13x

You now have 13x +2, which can be rewritten as 2 + 13x

The 3rd answer is correct.

Hey there!

The correct choice is C. 2 + 13x

Like the answer says, all you have to do is combine the x’s and rearrange: 13x +2 can be rearranged as 2 + 13x

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Find the equation of the line below.

Answers

y=5x is your answer :)

The equation of the line passing through the points (1, 5) and (2, 10) is y = 5x.

Step 1: Calculate the slope (m) using the given points (1, 5) and (2, 10).

The slope (m) is given by the difference in y-coordinates divided by the difference in x-coordinates:

m = (10 - 5) / (2 - 1) = 5 / 1 = 5

Step 2: Select one of the points to use in the point-slope form. Let's choose (1, 5) as (x₁, y₁).

Step 3: Substitute the values into the point-slope form equation:

y - 5 = 5(x - 1)

Step 4: Distribute and simplify the equation:

y - 5 = 5x - 5

Step 5: Isolate 'y' on one side of the equation:

y = 5x - 5 + 5

y = 5x

To know more about equation here

https://brainly.com/question/21835898

#SPJ2

25= a/5 what is that?

Answers

[tex]\huge\bold\red{Answer}[/tex]

[tex]25 = \frac{a}{5} \\ a = 25 \times 5 \\ a = 125[/tex]

[tex]<b><marquee>❣..ℏ✺℘ḙ !т ℏḙℓ℘ṧ ʏ✺ṳ..❣</marquee>[/tex]

Answer:

hi there

your answer is A=125

Step-by-step explanation:

Step 1 :A=25 = a/5  - a/5

Step 2 :A=25-(a/5) = 0

Step 3 : A= 25-1/5×a = 0 - 25

Step 4 :A= -1/5×a = -25  -1/5

Step 5 :a = -25/(-1/5)

Step 6 : a = 125

i hope this helps  out

Have a great morning

FaithRawlins14

Im not sure where to start with this one...

Answers

The volume of a cube is side length cubed (s^3)
So if you know the volume then take the cube root of 1/512... which is 1/8

So each side of the cube is 1/8.

There are 6 congruent sides on a cube (picture a “dice”). Do the area of each side would be (1/8)(1/8)= 1/64 then multiply that area by 6 and reduce ... you get 6/64 = 3/32 for the surface area

What is the approximate area of a semicircle with diameter of 22 inches

Answers

Answer:

Aprox 190 inch2

Step-by-step explanation:

A = [Pi*r^2]/2

A = 60.5*Pi

A = 189.97 inc2

Best regards

Answer:

190 Square inches

Step-by-step explanation:

Formula for a semicircle is A=3.14*r^2/2

R=11 because its half the diameter

11^2=121

121 * 3.14 = 379.94

379.94 / 2 = 189.97

189.97 is approximately 190.

Multiply. Express your answer in standard form. (x^2-4x+3)(-3x^2+7x-1)

Answers

Answer: See picture.

Step-by-step explanation:

For this king of method, I personally like using the Box Method. See Picture:

(7+u)^2−(5+u)^2=6v, (2−v)^2−(6−v)^2=4u.

Answers

Solve for u in (7 + u)^2 - (5 + u)^2 = 6v

u = 3(v - 4)/2

Substitute u = 3(v - 4)/2 into (2 - v)^2 - (6 - v)^2 = 4u

8v - 32 = 6(v - 4)

Solve for v in 8v - 32 = 6(v - 4)

v = 4

Substitute v = 4 into u = 3(v - 4)/2

u = 0

Therefore,

u = 0

v = 4

| 5 - 9 | - | -2 |

What are these brackets called and what's the answer??

Answers

Answer:

Step-by-step explanation:

The brackets are absolute value. The absolute value of a number is the distance from zero which can never be negative (distance can’t be negative). Btw the answer is 2

The table shows the areas of a triangle where the base of the triangle stays the same but the height changes. Write an algebraic expression that can be used to find the area of the triangle that has a base of 5 units and a height of X.

Answers

(1/2)5x I hope this helps!!

The figure is made up of a cylinder and a hemisphere.

To the nearest whole number, what is the volume of this figure?

Use 3.14 to approximate π . Round only your final answer to the nearest whole number.

Answers

Answer: It's 170

Step-by-step explanation: if you put 170.1 it counts it as wrong

6>x+3 1/3 solve the inequality ☹️

Answers

Answer:

2 2/3 >x

Step-by-step explanation:

6>x+3 1/3

Subtract 3 1/3 from each side

6-3 1/3>x+3 1/3-3 1/3

Replace 6 with 5 3/3

5 3/3 - 3 1/3 > x

2 2/3 >x

Which segment is the image of AB reflected across the line y= -2

Answers

Answer:

GH

Step-by-step explanation:

If you look at y = -2, you can see that AB is one unit below it. Now if you flip this line segment across y = -2, all you have to do is count on unit up and find segment GH is in the correct position.

Answer:

The line segment GH is the answer.

Step-by-step explanation:

In the given figure we can see that point B of line AB lies one unit below the given y=-2. Now, when this line across y = -2, the point B will lie one unit above -2 that is H with the other end G.                                                

So, GH is the correct answer.

what is the soution to the equation 1/2 x + 3 = 2/3 x + 1
a.1/3
b.2/3
c.2
d.12

Answers

Answer:

d

Step-by-step explanation:

To eliminate the fractions in the equation multiply all term on both sides by the lowest common multiple of 2 and 3, that is 6

3x + 18 = 4x + 6 ← equation with no fractions

Subtract 4x from both sides

- x + 18 = 6 ( subtract 18 from both sides )

- x = - 12 ( multiply both sides by - 1 )

x = 12 → d

Answer:

[tex]\boxed{\bold{x=12}}[/tex]

Step-by-step explanation:

Subtract 3 from both sides

[tex]\bold{\frac{1}{2}x+3-3=\frac{2}{3}x+1-3}[/tex]

Simplify

[tex]\bold{\frac{1}{2}x=\frac{2}{3}x-2}[/tex]

Subtract [tex]\bold{\frac{2}{3}x }[/tex] from both sides

[tex]\bold{\frac{1}{2}x-\frac{2}{3}x=\frac{2}{3}x-2-\frac{2}{3}x}[/tex]

Simplify

[tex]\bold{-\frac{1}{6}x=-2}[/tex]

Multiply both sides by -6

[tex]\bold{\left(-\frac{1}{6}x\right)\left(-6\right)=\left(-2\right)\left(-6\right)}[/tex]

Simplify

[tex]\bold{x=12}[/tex]

find the perimeter of the shape below:

Answers

The answer would be 11

Yea that’s the right answer

The Logo For Super Snacks Company is Shown below. What is the area of the shaded region? Round to the nearest whole number. PLEASE HELP

Answers

Answer:

50.27 square inches

Step-by-step explanation:

If you look at the logo for the Super Snacks Company, you'll see it's basically a cylinder that has been cut and twisted, but if you just curve the top part the other way around, you'll have a perfect cylinder again.

We can then calculate the lateral surface area of the cylinder, to do so we use the following formula:

L = 2 * π * r * h

Which means we multiply by 2 by the constant π (3.1416) by the radius of the cylinder (in our case 2 inches, since the full diameter is 4 inches) and the height (in our case 4 inches).  So, we enter the numbers in the formula and solve it:

L = 2 * 3.1416 * 2 * 4 = 50.2656 square inches.

Is 0.67 a terminating or a repeating decimal

Answers

Answer:

Terminating decimal.

Step-by-step explanation:

A terminating decimal had an end.

0.67 ends after the 7; therefore it's terminating.

A recurring decimal does not end.

⅓ or 0.333333333... is a recurring decimal because it never ends. Similarly with ⅔ or 0.6666666666....

It is terminating good luck

Will mark BRAINLIEST!!!!

Answers

Answer:

the third one down

Step-by-step explanation:

Answer:

[tex]\frac{8\sqrt{x} }{y}[/tex]

I hope that helped

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