Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 16 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 11.8 ft and a base with a radius of 16 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 * (16 ft)² * 11.8 ft
Step 2: Square the radius. V = 1/3 * π * 256 ft² * 11.8 ft
Step 3: Multiply the squared radius by the height. V = 1/3 * π * 3014.8 ft³
Step 4: Multiply the result by 1/3. V = 1004.93 ft³ * π
Step 5: Multiply the result by π. V = 3157.168 ft³
So, the volume of the cone is approximately 3157.168 cubic feet. If we round this to the nearest tenth, we get 3157.2 cubic feet.
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