Question

A cuboid with length $14$ cm and breadth $11$ cm and a cylinder have the same height and volume. Find the radius of the base of the cylinder.

Answer 1

Let the Height of Cylinder and Cuboid be $H$

and Let the Volume of both be $V$

Volume of Cuboid = Volume of Cylinder

$14\ast 11\ast H=\pi \ast r^2\ast H\Rightarrow r=\sqrt{\frac{14\ast 11}{\pi }}=\sqrt{\frac{14\ast 11\ast 7}{22}}=\sqrt{49}=7cm$