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

`v= \pi r^(2) h=* 0.7^(2)*19.75= 30.40276 (30.4)`

Answer 2

Height of cylinder =
`19(3)/(4) =19.75`ft

Diameter of cylinder =
`1(2)/(5)`times its height =
`1.4 * 19.75=27.65`ft

Now Radius = half of diameter =
`(27.65)/(2) =13.825`ft

Now we have to find the Volume of cylinder

formula for Volume of cylinder is

Volume of cylinder =
`\pi r^2 h`

let's plug the values

Volume of cylinder =
`(3.14)*(13.825)^2 *(19.75)`

Plug the values in calculator

= 11852.9657 cubic feet

Round off the answer to two decimal places(i.e. hundredth)

= 11852.97 cubic feet