Question

A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.

enter the height, in feet, of the cylinder in decimal from. round your answer to the nearest tenth.

Answer 1

Height of cylinder is
`(4)/(5)\ ft`.

Explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

`R = (D)/(2)`

So, radius, R =
`(6)/(2) \Rightarrow 3` feet

Let height of cylinder be
`h` feet.

Formula for volume of cylinder is given by:

`V = \pi R^(2) H`

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

`V = (36 \pi)/(5) ft^(3)`

Using formula for volume,
`V = \pi R^(2) H`

`(36\pi)/(5) = \pi * 3^(2) * h\\\Rightarrow (36\pi)/(5) = \pi * 9 * h\\\Rightarrow h = (4)/(5) ft`

Hence, Height of cylinder is
`(4)/(5)\ ft`.