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Geometry and Trigonometry
Difficulty: Medium
A right circular cylinder has a height of and a base with a radius of . What is the volume, , of the cylinder?
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Explanation
Choice D is correct. The volume, , of a right circular cylinder is given by , where is the radius of the circular base and is the height of the cylinder. It’s given that the cylinder has a height of meters and a base with a radius of meters. Substituting for and for in yields , or . Therefore, the volume, in , of the cylinder is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect. This is the volume, in , of a cylinder with a radius of meters and a height of meters.