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MA_775_DIABLO [31]
3 years ago
6

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?
Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

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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