Question

What is the volume of this cylinder?

diameter=36ft
height=17ft
use 3.14 for `pi`
find the volume of this cylinder.

Answer 1

17295.12 square feet

Explanation:

The volume of a cylinder can be found by finding the area of the circular side and multiplying that by the height of the cylinder.

The area of a circle is equal to `pi r^2` where `r` is the radius equal to half the diameter.

Multiplying this by the height we get the expression `A=pi r^2h`

`r = 36/2 = 18`
`h=17`

Putting these numbers in we get
`A=17 times 3.14 times 18^2 = 17295.12` square feet

Answer 2

Volume of the Cylinder `~~17295.12` cubic feet.

Explanation:

`" "`
A Cylinder has two parallel circular bases and a height.

Note that the two circular bases have equal sizes.

To find the Volume of the given Cylinder, use the formula:

Volume of the Cylinder `=pi * (Radius) ^2 * Height`

Radius is the radius of the circular base.

Height is the Height of the cylinder.

We are given the diameter of the circular base of the cylinder.

In the problem, diameter of the circular base `= 36` feet.

Height of the cylinder `= 17` feet.

Value of `pi ~~ 3.14`

Radius `=(Diameter)/2`

`rArr Radius = 36/2 = 18` feet.

Hence, the area of the circular base `pi * (Radius) ^2`

`rArr ~~ 3.14*18^2`

`rArr ~~ 1017.36`

Hence, area of the base `~~ 1017.36` sq. feet.

Formula to find the Volume of the Cylinder:

`Volume = pi * r^2 * h` cubic units.

Volume of the Cylinder `~~(1017.16)*(17)` cubic feet.

`rArr ~~17295.12` cubic feet.

Hence,

Volume of the Cylinder `~~17295.12` cubic feet.