搜狗做题网A tank with full water has a inverted circular cone with bas
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A tank with full water has a inverted circular cone with base of radius 5 m and H of 10 m .If the tank has a hole and is leaking and the water level is decreasing at the rate of 3 m/min –estimate the rate at which the tank is losing water when the water level is only 5 m deep.
一个倒圆锥水槽,深10m,基圆半径5米.装满水.如果圆锥水槽有个孔漏水,漏水的速率为3 m/min(是不是3立方米),按这个速率.估计一下到什么时候水漏到只有5 m深?
水槽装水的体积v=pi*52 *10/3=83.333pi
漏到5m深时水槽水的体积= pi*2.52 *5/3=10.416pi
漏掉水的体积=83.333pi-10.416pi=72.917pi=229.076m3
用掉的时间=229.076/3=76.36min
水槽装水的体积v=pi*52 *10/3=83.333pi
漏到5m深时水槽水的体积= pi*2.52 *5/3=10.416pi
漏掉水的体积=83.333pi-10.416pi=72.917pi=229.076m3
用掉的时间=229.076/3=76.36min
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