A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) how fast is the radius of the balloon changing at the instant the radius is 20 centimeters
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dv/dt = 500 cm³/m
dr/dt = ?
r = 20 cm
volume of sphere = 4/3πr³
dv/dt = 4/3π 2(r)³ dr/dt
500 = 4/3 π 2(20)² dr/dt
500 = 3352.38 dr/dt
=0.149 cm/min
the radius of the balloon changing at the rate of 0.149 cm/min
dr/dt = ?
r = 20 cm
volume of sphere = 4/3πr³
dv/dt = 4/3π 2(r)³ dr/dt
500 = 4/3 π 2(20)² dr/dt
500 = 3352.38 dr/dt
=0.149 cm/min
the radius of the balloon changing at the rate of 0.149 cm/min
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