Solid geometry

Solid geometry measures three-dimensional figures. The volume of a sphere is $\frac{4}{3}\pi r^3$, and its surface area is $4\pi r^2$. A cylinder with radius $r$ and height $h$ has volume $\pi r^{2}h$. A cone with the same base and height has volume $\frac{1}{3}\pi r^{2}h$. For a rectangular box with side lengths $a$, $b$, and $c$, the space diagonal has length $\sqrt{a^2+b^2+c^2}$. These formulas let you compute volumes, surface areas, and interior distances for common solids.