A right circular cylinder has a volume of . If the height of the cylinder is 5, what is the

Question

A right circular cylinder has a volume of . If the height of the cylinder is 5, what is the radius of the cylinder?

Accepted Answer

Choice A is correct. The volume of a right circular cylinder with a radius of r is the product of the area of the base, , and the height, h . The volume of the right circular cylinder described is and its height is 5. If the radius is r , it follows that . Dividing both sides of this equation by yields . Taking the square root of both sides yields or . Since r represents the radius, the value must be positive. Therefore, the radius is 3. Choice B is incorrect and may result from finding that the square of the radius is 9, but then from dividing 9 by 2, rather than taking the square root of 9. Choice C is incorrect. This represents the square of the radius. Choice D is incorrect and may result from solving the equation for , not r , by dividing by on both sides and then by subtracting, not dividing, 5 from both sides.

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