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At radius 3 cm, growing 0.5 cm/s, how quickly is a sphere's volume increasing?
A12π cm³/s
B36π cm³/s
C9π cm³/s
D18π cm³/s
Answer & Solution
Correct answer: D. 18π cm³/s
dV/dt = 4πr²(dr/dt) = 4π × 9 × 0.5 = 18π cm³/s.
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