Question

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.

Answer 1

The volume of the cone is:

• 237.6 cubic feet.

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