A sphere has a radius of 17 5 feet. What is the volume, in cubic feet, of the sphere?

Question

Accepted Answer

Choice D is correct. The volume, V , of a sphere can be found using the formula V = 4 3 &#960; r 3 , where r is the radius of the sphere. It&rsquo;s given that the sphere has a radius of 17 5 feet. Substituting 17 5 for r in the formula V = 4 3 &#960; r 3 yields V = 4 3 &#960; 17 5 3 , which is equivalent to V = 4 3 &#960; 4,913 125 , or V = 19,652 &#960; 375 . Therefore, the volume, in cubic feet, of the sphere is 19,652 &#960; 375 . 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 17 5 3 feet. Choice C is incorrect and may result from conceptual or calculation errors.

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