Question

A cylinder has a height of 7cm.

The circumference of the cylinder is 10pi
Calculate the volume of the cylinder in terms of pi
cm3

Answer 1

`175\pi \textsf{ cm}^3`

Explanation:

Circumference of a circle:

`C=2\pi r` (where
`r` is the radius)

Given circumference =
`10\pi`

`\implies 10\pi=2\pi r`

`\implies r=5`

Volume of a cylinder:

`V=\pi r^2h` (where
`r` is the radius and
`h` is the height)

`\implies V=\pi \cdot5^2\cdot 7`

`\implies V=175\pi \textsf{ cm}^3`