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Geometry and Trigonometry
Difficulty: Medium
A sphere has a radius of feet. What is the volume, in cubic feet, of the sphere?
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Explanation
Choice D is correct. The volume, , of a sphere can be found using the formula , where is the radius of the sphere. It’s given that the sphere has a radius of feet. Substituting for in the formula yields , which is equivalent to , or . Therefore, the volume, in cubic feet, of the sphere is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect. This is the volume, in cubic feet, of a sphere with a radius of feet.
Choice C is incorrect and may result from conceptual or calculation errors.