Question

A right circular cylinder has a height of ​ 19 3/4 ​ ft and a diameter ​ 1 2\5 ​ times its height.

What is the volume of the cylinder?

Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answer 1

Volume of cylinder is 34833.21 ft³

Explanation:

Given : A right circular cylinder having height
`19(3)/(4)` ft and diameter
`(12)/(5)` ​times its height.

Given : diameter
`(12)/(5)` ​times its height that is

diameter
`(12)/(5)` ​times
`19(3)/(4)` that is

Diameter =
`(12)/(5) * (79)/(4)` ​

Diameter =
`(237)/(5)` ft

Radius is half of diameter,

Radius =
`(1)/(2) * (237)/(5)=(237)/(10)` ft

`\text{Volume of Cylinder}=\pi r^2h`

Substitute the values, we get,

`\text{Volume of Cylinder}= \pi ((237)/(10))^2 * (79)/(4)`

`\text{Volume of Cylinder}= * 3.14 * (23.7)^2 * 19.75`

`\text{Volume of Cylinder}= * 3.14 * (23.7)^2 * 19.75`

`\text{Volume of Cylinder}=34833.21`

Thus, volume of cylinder is 34833.21 ft³