Volume of right circular cylinder

Objective:

To give a suggestive demonstration of the formula for the volume of a right circular cylinder in terms of its height and radius of the base circle.

Related Terms:

A cylinder is a geometric solid that is very common in everyday life, such as a soup can. If you take the cylinder apart you find it has two ends, called bases, which are usually circular.

Right circular cylinder:

Definition: A right circular cylinder is a three-dimensional object with two congruent circles as parallel bases and a lateral surface consisting of a rectangle.

Base and side: The bases of right circular cylinder are always congruent and parallel to each other. If you were to 'unroll' the cylinder you would find the side is actually a rectangle when flattened out.

Height: The height h is the perpendicular distance between the bases.

Radius: The radius r of a cylinder is the radius of a base.

Axis: A line joining the center of each base.

Volume of right circular cylinder = πr2h