Question

The diameter and height of this cylinder are equal to the side length, s, of the cube in which cylinder is inscribed. What is the expression for the cylinders volume ?

Answer 1

Answer:

1/4πs^3

Step-by-step explanation:

The volume of a cylinder = πr^2h.

Here its height h = s and its radius r = 1/2 diameter = s/2.

So it's volume is π(s/2)^2s

= 1/4πs^3.