Answer
$V=\pi (R^2-\dfrac{h^2}{4})h$
Work Step by Step
The volume of a cylinder can be calculated as:
$V=\pi r^2h$
where, $r$ is the radius and $h$ is the height of the cylinder.
By using the Pythagorean Theorem, we can find the radius as:
$r^2+(\frac{h}{2})^2=R^2$
$r^2=R^2-(\frac{h}{2})^2$
$r=\sqrt{R^2-\dfrac{h^2}{4}}$
Now, the volume will be:
$Volume, V=\pi r^2 h=\pi (R^2-\dfrac{h^2}{4})h$
