Find the volume of a right circular cone that has a height of 3.5 ft and a base with a radius of 18.9 ft. Round your answer to the nearest tenth of a cubic foot.
Question
Find the volume of a right circular cone that has a height of 3.5 ft and a base with a radius of 18.9 ft. Round your answer to the nearest tenth of a cubic foot.
Solution
To find the volume of a right circular cone, you can use the formula: V = 1/3 * π * r² * h, where r is the radius of the base, h is the height, and π is a constant approximately equal to 3.14159.
Step 1: Substitute the given values into the formula. V = 1/3 * π * (18.9 ft)² * 3.5 ft
Step 2: Square the radius. V = 1/3 * π * (357.21 ft²) * 3.5 ft
Step 3: Multiply the squared radius by the height. V = 1/3 * π * 1249.735 ft³
Step 4: Multiply the result by 1/3 and π. V = 1312.3 ft³
So, the volume of the cone is approximately 1312.3 cubic feet, rounded to the nearest tenth.
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