Step 1: Find the radius of the base of the cone. The circumference of a circle is given by the formula C = 2πr, where r is the radius. So, we can solve for r:

13 ft = 2πr
r = 13 ft / 2π ≈ 2.07 ft

Step 2: Find the volume of the cone. The volume V of a cone is given by the formula V = 1/3πr²h, where r is the radius of the base and h is the height. Substituting the values we have:

V = 1/3π(2.07 ft)²(14.7 ft) ≈ 100.6 cubic ft

So, the volume of the cone is approximately 100.6 cubic feet, rounded to the nearest tenth.

Question

Step 1: Find the radius of the base of the cone. The circumference of a circle is given by the formula C = 2πr, where r is the radius. So, we can solve for r:

13 ft = 2πr
r = 13 ft / 2π ≈ 2.07 ft

Step 2: Find the volume of the cone. The volume V of a cone is given by the formula V = 1/3πr²h, where r is the radius of the base and h is the height. Substituting the values we have:

V = 1/3π(2.07 ft)²(14.7 ft) ≈ 100.6 cubic ft

So, the volume of the cone is approximately 100.6 cubic feet, rounded to the nearest tenth.

Knowee AI · Accepted Answer

Step 1: Find the radius of the base of the cone. The circumference of a circle is given by the formula C = 2πr, where r is the radius. So, we can solve for r:

13 ft = 2πr
r = 13 ft / 2π ≈ 2.07 ft

Step 2: Find the volume of the cone. The volume V of a cone is given by the formula V = 1/3πr²h, where r is the radius of the base and h is the height. Substituting the values we have:

V = 1/3π(2.07 ft)²(14.7 ft) ≈ 100.6 cubic ft

So, the volume of the cone is approximately 100.6 cubic feet, rounded to the nearest tenth.

Find the volume of a right circular cone that has a height of 14.7 ft and a base with a circumference of 13 ft. Round your answer to the nearest tenth of a cubic foot.

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