Question

The diameter of a cylinder is $28cm$ and its height is $40cm$. Find the volume of the cylinder.

Answer 1

Step 1: Find the radius of the cylinder

Given that, the height $h$ of a cylinder $=40cm$

And, the diameter $d$ of a cylinde r $=28cm$

Thus, the radius $r$ of a cylinder $=\frac{d}{2}$

$=\frac{28}{2}$

$=14cm$

Step 2: Find the volume of the cylinder

The volume of cylinder is $V={\mathrm{\pi r}}^2\mathrm{h}$, where $r$ is radius and $h$ is height.

$\therefore V=\frac{22}{7}\times 14\times 14\times 40$ $(\mathrm{\pi }=\frac{22}{7})$

$\Rightarrow V=24640c{m}^3$

Hence, the volume of the cylinder is $24640c{m}^3$