Find the volume of a right circular cone that has a height of 4.5 ft and a base with a

diameter of 14.2 ft. Round your answer to the nearest tenth of a cubic foot.

The volume of the cone is:

237.6 cubic feet.

Step-by-step explanation:

The volume of a cone is:

Volume of a cone = (1/3) PI * r^2 * h

Where:

r = radius.

h = height.

Since the exercise provides the diameter but not the radius, you simply have to divide the diameter in two:

Radius = diameter / 2 Radius = 14.2 ft / 2 Radius = 7.1 ft / 2

Now we proceed to replace in the formula:

Cone volume = (1/3) PI * (7.1 ft) ^2 * 4.5 ft Cone volume = 237.5515285 ft^3 Cone volume = 237.6 ft^3