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Air is pumped into a spherical balloon at 100 cm³/s. How fast is the radius growing when r = 5 cm?
A100π cm/s
Bπ cm/s
C1/π cm/s
D4/π cm/s
Answer & Solution
Correct answer: C. 1/π cm/s
From dV/dt = 4πr² dr/dt, 100 = 100π dr/dt, so dr/dt = 1/π cm/s.
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