Volume | COSMOS

The volume of an object is a three-dimensional measurement of the space it occupies. The formulae for the volume $V$ of common shapes are:

shape	formula	note
cube	$V = a^3^$	where $a$ is the length of the sides
sphere	$V = (4/3) \pi r^3^$	where $r$ is the radius
cylinder	$V = \pi r^2^$ $h$	where $r$ is the radius and $h$ is the height
general	$V = \int A(h) dh$	where $h$ is the height and $A(h)$ is the area of a cross-section perpendicular to $h$ as a function of $h$