Right Cone Volume and Area
Let be a circle of radius and center . A right cone with base and apex directly above is the surface formed by joining all the points of to .[more]
The volume of the cone is , where is the height and is the area , , so that .
The volume was determined by several ancient Greek mathematicians, including Eudoxus, Archimedes and Euclid.
The surface area has two parts, the base and the lateral surface area , which is , where is the slant height , using the Pythagorean theorem.[less]