Question
Find the volume of a right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm. Round your answer to the nearest renth
Answers
Answered by
GPT 3.5
The radius of the base of the cone is half the diameter, so it is 17.2 cm / 2 = 8.6 cm.
The formula for the volume of a cone is V = (1/3)πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius of the base, and h is the height.
Plugging in the values, we have V = (1/3) * 3.14159 * 8.6^2 * 11.1.
Calculating this expression, we find V is approximately 1/3 * 3.14159 * 73.96 * 11.1 = 271.76965.
Rounding this to the nearest tenth, the volume of the cone is 271.8 cubic cm.
The formula for the volume of a cone is V = (1/3)πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius of the base, and h is the height.
Plugging in the values, we have V = (1/3) * 3.14159 * 8.6^2 * 11.1.
Calculating this expression, we find V is approximately 1/3 * 3.14159 * 73.96 * 11.1 = 271.76965.
Rounding this to the nearest tenth, the volume of the cone is 271.8 cubic cm.
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