Mathematics

Thomas

25 October, 05:49

Complete the derivation of the formula for a cylinder

whose height is equal to its radius.

Suppose the height of a cylinder is equal to its radius.

The cylinder can fit inside a square prism, as shown

below.

The cross-sectional areas are still the same and the ratio

of the area of the circle to the area of the square is still

The prism's volume is the area of the base,

times the height

Since the ratio of the areas is then the volume of the

cylinder is vtimes the volume of the prism.

V = (4"), or