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A spherical balloon gains volume at 8 pi cm^3/s. How fast does r grow when r = 2 cm?

A1 cm/s
B0.5 cm/s
C2 cm/s
D4 cm/s
Answer & Solution
Correct answer: B. 0.5 cm/s
From dV/dt = 4 pi r^2 dr/dt, dr/dt = 8 pi/(16 pi) = 0.5 cm/s.
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