What is the volume of a cone that has a base with a radius of 4 inches and a height of 12 inches?

Solution:

A cone is basically a shape which can be considered by rotating a right angled triangle about its vertical line which is at 90 degrees to the base as shown below.

When the triangle is rotated about the vertical line (OA), a cone is generated with radius r and height h.

The volume of the cone shown in the figure below is given by the equation:

V = (1/3)πr²h

Where r = radius of the base and h = height of the cone as shown below:

Hence the volume of the cone is: Ed

V = (1/3) ×π × 4² × 12

= (1/3) × 3.14 × 4² × 12

= 200.96 inches³

What is the volume of a cone that has a base with a radius of 4 inches and a height of 12 inches?

Summary:

The volume of the cone with a radius of 4 inches and a height of 12 inches is 200.96 inches³.