A right circular cone has a volume of cubic feet and a height of 9 feet. What is the radius,

Question

A right circular cone has a volume of cubic feet and a height of 9 feet. What is the radius, in feet, of the base of the cone?

Accepted Answer

Choice A is correct. The equation for the volume of a right circular cone is . It&rsquo;s given that the volume of the right circular cone is cubic feet and the height is 9 feet. Substituting these values for V and h , respectively, gives . Dividing both sides of the equation by gives . Dividing both sides of the equation by 9 gives . Taking the square root of both sides results in two possible values for the radius, or . Since the radius can&rsquo;t have a negative value, that leaves as the only possibility. Applying the quotient property of square roots, , results in , or . Choices B and C are incorrect and may result from incorrectly evaluating . Choice D is incorrect and may result from solving instead of .

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