Question

If the volume of a cylinder is $3080{\text{cm}}^3$ and the base radius is $7$ cm, find the height of the cylinder.

Answer 1

Let the height be $h.$

Then volume of a cylinder $=3080c{m}^3$

Radius $=7$cm

Let $\pi =22/7$

$\therefore$ Volume of the cylinder $=3080$

$\pi r^{2}h=3080$

$\Rightarrow \frac{22}{7}\times 7\times 7\times h=3080$

$\Rightarrow 154\times h=3080$

$\Rightarrow h=\frac{3080}{154}$

$\therefore h=20cm$

$\therefore$ Height of the cylinder $=20cm$.