The volume of a spherical balloon is increasing at the rate of 25cm^3/min, how fast is the radius increasing when the radius is
equal to 20cm?
1 answer:
Answer:
V=4/3πr^3;S=4πr^10;dV/dt=dV/dr×dr/dt=4πr^10×dr/dt;dS/dt=dS/dr×dr/dt=8πr×dr/dt=2/r×dV/dt;当r=10cm时,dS/dt=50cm^2/s
Step-by-step explanation:
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