Physics, asked by joyvegeto1464, 1 year ago

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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Answers

Answered by dineshmehta1991
80
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Answered by TheRuhanikaDhawan
118
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

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