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30 September, 00:17

A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 14 cm.

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  1. 30 September, 02:32
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    V = (4/3) pir^3

    take derivitive

    dV/dt=4pir^2 (dr/dt)

    dr/dt=-0.1

    r=14

    dV/dt=4pi14^2*-0.1

    dV/dt=-78.4pi cm/min
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