Question

The volume of a right circular cylinder with its height equal to the radius is $25\frac{1}{7}c{m}^3.$ Find the height of the cylinder.

Answer 1

Given: $h=r$

Volume of right circular cylinder $=25\frac{1}{7}c{m}^3$

We know that volume of the right circular cylinder $=\pi r^{2}h$

$\Rightarrow \pi r^3=25\frac{1}{7}$ [$\because r=h$]

$\Rightarrow r^3=\frac{176}{7}\times \frac{7}{22}[\because \pi =\frac{22}{7}]$

$\Rightarrow r^3=8$

$\Rightarrow r=2$

$\therefore h=r=2cm$