Question

The volume of a cylinder which exactly fits in a cube of side a is ______.

Answer 1

The volume of a cylinder which exactly fits in a cube of side a is `underlinebb((pia^3)/4)`.

Explanation:

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

∴ Height = a and radius = `a/2`

Now, volume of the cylinder = πr²h

= `pi(a/2)^2a`

= `1/4 pia^3`