Question

A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answer 1

The volume of cylinder is:

49806.06 ft^3

Explanation:

We are given a right circular cylinder with:

Height(h)=
`22(1)/(4)ft=(89)/(4)ft`

and a diameter is
`2(2)/(5)` times it's height.

i.e.
`(12)/(5)` times it height.

i.e. the diameter is given as:

`(12)/(5)* (89)/(4)=(267)/(5)ft.`

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

`(1)/(2)* (267)/(5)\\\\=(267)/(10)`

The volume(V) of cylinder is given by:

`V=\pi r^2h`

`V=3.14* ((267)/(10))^2* (89)/(4)\\\\V=(19922423.94)/(400)\\\\V=49806.06ft^3`

Hence, the volume of cylinder is:

49806.06 ft^3