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 .
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.


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