Question

A cylinder has a diameter of 6 feet. The volume of the cylinder is

36/5 π cubic feet.

Enter the height, in feet, of the cylinder in decimal form. Round your answer to the nearest tenth.

Answer 1

volume of a cylinder is the area of the base times the height, and the area of the base is πr²
r is half of the diameter, so r=3 in this case
V=π*3²*h=(36/5)π
9h=36/5
h=4/5=0.8 foot

Answer 2

0.8 feet

Explanation:

We are given that volume of cylinder=
`(36)/(5)\pi`cubic feet

Diameter of a circle=6 feet

We have to find the value of height

Radius of circle=
`(6)/(2)=3 feet`

We know that volume of cylinder=
`\pi r^2h`

Substitute the values in the given formula

`(36)/(5)\pi=\pi (3)^2 h`

`h=(36)/(5* 9)`

`h=(4)/(5)`

`h=0.8`

Hence, height of cylinder=0.8 feet