Find the volume of a right circular cone that has a height of 7.4 in and a base with a diameter of 5.4 in. Round your answer to the nearest tenth of a cubic inch
Question
Find the volume of a right circular cone that has a height of 7.4 in and a base with a diameter of 5.4 in. Round your answer to the nearest tenth of a cubic inch
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 of the cone, and π is a constant approximately equal to 3.14159.
Step 1: Find the radius of the base. The diameter is given as 5.4 inches, so the radius (which is half the diameter) would be 5.4 / 2 = 2.7 inches.
Step 2: Substitute the radius and the height into the formula. So, V = 1/3 * π * (2.7 in)² * 7.4 in.
Step 3: Calculate the volume. V = 1/3 * 3.14159 * 7.29 in² * 7.4 in = 56.548 cubic inches.
Step 4: Round the volume to the nearest tenth of a cubic inch. So, the volume of the cone is approximately 56.5 cubic inches.
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