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

Answer:

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

Step-by-step 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)

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

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