Volume: The radius r of a sphere is increasing at a rate of 2 inches per minute

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查看11 | 回复1 | 2012-9-25 12:36:16 | 显示全部楼层 |阅读模式
V=Volume=4π(r^3)/3,dV/dr=4π(r^2),so the rate of change of the volume, dV/dt=(dV/dr)*(dr/dt)=4π(r^2)*2,then you can calculate the value of dV/dt is 288 square inch per minute when r=6 inches,and 4608 square inch per minute when r=24 inches.The rate changes because it is related to both dr/dt and dV/dr, the latter of which i...
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