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24 March, 04:27

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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  1. 24 March, 05:37
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    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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