Question

Find the volume of the cylinder, given the circumference of the base is $176$ cm and height $30$ cm.

Answer 1

Let cylinder has base with radius $r$.
Given, circumference $=176cm$
$2\pi r=176$
$r=176\times \frac{7}{22\times 2}$
$r=28cm$.
Formula for volume of cylinder$V=\pi r^{2}h$
height given $=30cm$
$V=\frac{22}{7}\times {28}^2\times 30$
$=73920c{m}^3$