Question

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

Answer 1

$V=B\times H$
$V=\pi r^{2}h$
$V=\pi (\frac{d}{2})^{2}h$
$V=\pi (\frac{s}{2})^{2}s$
$V=\pi (\frac{s^{2}}{4})s$
$V=\frac{\pi s^{3}}{4}$