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 ?

Question

asked Dec 8, 2022 133k views

2 Answers

Shreedhar Bhat · Answer 1 · 2022-12-10T16:13:41+0000

Answer:

1/4πs^3

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.