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.


ft³

Answer 1

I don't feel like writing an explanation, the answer is 11852.97.

Answer 2

Volume of cylinder
`=11858.98ft^3`

Explanation:

Given a right circular cylinder has a height of ​ 19 3/4 ​ ft and a diameter ​ 1 2/5 ​ times its height. We have to find the volume of cylinder.

`Height,h=19(3)/(4)=(79)/(4)ft\\\\Diameter=1(2)/(5)of height=(7)/(5)*(79)/(4)ft\\\\Radius=(1)/(2)((7)/(5)*(79)/(4))=(7)/(10)*(79)/(4)ft`

`Volume=\pi r^2h=3.14*((7)/(10)*(79)/(4))^2*(79)/(4)`

`=11858.98ft^3`