Question

What is the volume of this cylinder?

Use n = 3.14 and round your answer to the nearest hundredth.

Answer 1

12762.72 cubic meters

Explanation:

The volume of a cylinder is denoted by the formula:
`V=\pi r^(2) h`, where r is the radius and h is the height.

Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.

Now substitute these values into the equation:

`V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72` cubic meters

Hope this helps!

Answer 2

`12769.19m^(3)`

Explanation:

The formula for the area of a circle is:

`\pi r^(2)`

To work this out you would first have to find the area of the circle. To do this you would first divide 37.6 by 2, which gives you 18.8. Then to find the area you would multiply pi by 18.8 squared, which gives you
`1110.36m^(2)`. Then To find the volume you would multiply 1110.36 by 11.5, which gives you
`12769.19m^(3)`.

To find the volume of a prism you would find the area of the main face and multiply it by the height.

1) Divide 37.6 by 2.

`37.6/2=18.8`

2) Multiply
`\pi` by 18.8 squared.

`\pi *18.8^(2)=1110.36m^(2)`

3) Multiply 1110.34 by 11.5.

`1110.36*11.5=12769.19m^(3)`

Remember when finding the area, thee answer is always going to be squared.

Remember when finding the volume the answer is always going to be cubed.