Question

The volume of a cylinder is 325π cubic centimeters and its radius is 5 centimeters. What is the height of the cylinder? Enter your answer in the box.

Answer 1

the height is 13 cm


good luck

Answer 2

The height of the given cylinder is 39 centimeters.

Explanation:

Given : The volume of a cylinder is 325π cubic centimeters and its radius is 5 centimeters.

We have to find the height of the given cylinder.

Consider the given cylinder.

We know

Volume of cylinder =
`(1)/(3)\pi \cdot r^2\cdot h`

volume of a cylinder = 325π cubic centimeters

and its radius is 5 centimeters.

Substitute, we have,

`325\pi=(1)/(3)\pi \cdot (5)^2\cdot h`

Simplify, we have,

`325=(1)/(3)\cdot 25\cdot h`

Multiply both side by
`(3)/(25)`, we have,

`325* (3)/(25)=h`

Simplify, we have,

h = 39

Thus, The height of the given cylinder is 39 centimeters.