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The radius r of a sphere is increasing at rate of 3 in/min. (a) Find the rates of change of the volume when r=9in and r=36in So, Volume of a sphere=4/3πr^3 dV/dt=4/3π3r^2 3 cancel out?=>4πr^2 So dV/dt=(4πr^2)dr/dt dV/dt=972π in^3/min Right?...
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