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Volume

The volume of a $3$ -dimensional solid is the amount of space it occupies.  Volume is measured in cubic units ( ${\text{in}}^3,{\text{ft}}^3,{\text{cm}}^3,{\text{m}}^3$ , et cetera).  Be sure that all of the measurements are in the same unit before computing the volume.

The following table gives the formulas for the volumes of some common solids.  Here, $r$ denotes the radius of the figure, $h$ denotes the height, $B$ denotes the area of the base, and, in the case of the torus, $R$ denotes the distance from the center of the torus to the center of the tube.

Solids	Volume	Figure
Prism	$V=Bh$
Cube	$V=s^3$
Pyramid	$V=\frac{1}{3}Bh$
Cylinder	$V=\pi r^{2}h$
Cone	$V=\frac{1}{3}\pi r^{2}h$
Sphere	$V=\frac{4}{3}\pi r^3$
Ellipsoid	$V=\frac{4}{3}\pi r_1{r}_2{r}_3$
Torus	$2{\pi }^{2}R{r}^2$