General Cylinder (C)

The volume, V, of a general cylinder whose base has area B and whose height is H is given by

V = BH.

Note that the sides of the cylinder need not be perpendicular to the base. In case they are not, measuring the height H can be a problem in itself.

If the base of the cylinder is a circle of radius R then $B = \pi R^2$ and

$$V_{\rm circular\;cylinder} = \pi R^2 H.$$

If the base of the ellipse is an ellipse whose major and minor axes are M and m respectively then $B = \pi Mm/4$ and

$$V_{\rm elliptical\;cylinder} = \frac{\pi}{4} mMH.$$

If the the cylinder is a prism whose base is a rectangle of length L and width W then B = LW and

$$V_{\rm prism} = LWH.$$