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09-03-2020
Mathematics

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A spherical balloon is inflated at a rate of two cubic feet per minute. How quickly is the radius expanding when there is already 4π/3 cubic feet of air in the balloon?

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amna04352 amna04352

09-03-2020

Answer:

2/π feet per minute

Step-by-step explanation:

V = (4/3)π×r³

dV/dr = 4π×r²

When V = 4π/3, r = 1

dV/dr = 4π

dr/dt = dr/dV × dV/dt

= 1/4π × 2

= 2/π feet per minute

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