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A balloon's volume grows at 100 cu cm/s. How fast does its radius grow at r = 5 cm?
A4/pi cm/s
B1/(4 pi) cm/s
C1/pi cm/s
D5/pi cm/s
Answer & Solution
Correct answer: C. 1/pi cm/s
dr/dt = (dV/dt)/(4 pi r^2) = 100/(100 pi) = 1/pi cm/s.
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