Question

The surface area of a cylinder which exactly fits in a cube of side b is ______.

Answer 1

The surface area of a cylinder which exactly fits in a cube of side b is πb².

Explanation:

Since, the cylinder that exactly fits in a cube of side b, has its height equal to the edge of the cube and radius equal to half the edge of the cube.

∴ Height = b and radius = `b/2`

Now, curved surface area of the cylinder = 2πrh

= `2pi xx b/2 xx b`

= πb²