Find the volume of a right circular cone that has a height of 18.1 in and a base with a diameter of 18.7 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 18.1 in and a base with a diameter of 18.7 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
Step 1: Identify the radius (r) and height (h) from the problem. The height is given as 18.1 inches. The diameter of the base is given as 18.7 inches, so the radius would be half of the diameter, which is 18.7/2 = 9.35 inches.
Step 2: Substitute the values into the formula. V = 1/3 * π * (9.35)² * 18.1
Step 3: Calculate the square of the radius. (9.35)² = 87.4225
Step 4: Multiply the result by π and by the height. 1/3 * π * 87.4225 * 18.1 = 498.6 cubic inches.
So, the volume of the cone is approximately 498.6 cubic inches, rounded to the nearest tenth.
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