Asked by charles
Air is pumped into a spherical balloon at the rate of 20cm^3/s^-1.find the rate of change of radius of the balloon when the radius is 6cm
Answers
Answered by
Reiny
V = (4/3)π r^3
dV/dt = 4π r^2 dr/dt
20 = 4π (36) dr/dt
dr/dt = 20/(144π) cm/s
= 5/(36π) cm/s
dV/dt = 4π r^2 dr/dt
20 = 4π (36) dr/dt
dr/dt = 20/(144π) cm/s
= 5/(36π) cm/s
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