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What is the rate of change of a sphere's volume with respect to its radius r?

A8 pi r
B4 pi r^2
C(4/3) pi r^3
D3 pi r^2
Answer & Solution
Correct answer: B. 4 pi r^2
Volume is (4/3) pi r^3, and differentiating gives 4 pi r^2, the surface area.
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