Volume of a Cylinder: Understanding the Concept and Calculation

What is the volume of a cylindrical can with a radius of 2 inches and a height of 2 inches?

How do we calculate the volume of a cylinder with the given dimensions?

The volume of a cylinder with a radius of 2 inches and a height of 2 inches is 25.12 cubic inches.

In Mathematics, volume can be defined as a scalar quantity that is used to express the amount of three-dimensional (3D) space that is occupied by an object such as a cylindrical can, or enclosed by a boundary. The volume of a cylinder is calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.

Calculation:

Substituting the given radius (r = 2 inch) and height (h = 2 inch) into the formula, we have:

V = π(2²)(2) = 3.14 * 4 * 2 = 25.12 cubic inches

Therefore, the volume of the cylindrical can is 25.12 cubic inches.