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A bubble's volume grows at 200π cm³/s. How fast does its radius grow when r = 5 cm?
A1 cm/s
B4 cm/s
C2 cm/s
D0.5 cm/s
Answer & Solution
Correct answer: C. 2 cm/s
dV/dt = 4πr²(dr/dt) = 100π(dr/dt) = 200π, so dr/dt = 2 cm/s.
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