The Volume of a Conical Pile of Sand Is Increasing $576 \pi$

question 8

Multiple Choice

The volume of a conical pile of sand is increasing at a rate of $576 \pi$ ft ³ /min, and the height of the pile always equals the radius r of the base. Express r as a function of time t (in minutes) , assuming that r = 0 when t = 0.

• A) \(r = 12 \sqrt [ 3 ] { t }\)
• B) \(r = \sqrt [ 3 ] { 576 \pi t }\)
• C) \(r = \sqrt [ 3 ] { 12 t }\)
• D) \(r = 576 \pi \sqrt [ 3 ] { t }\)
• E) \(r = 576 \sqrt [ 3 ] { \pi t }\)

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