A water tank is shaped like an inverted cone with height 6 m and base radius 1.5

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A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m (see figure). 

a. If the tank is full, how much work is required to pump the water to the level of the top of the tank and out of the tank?

b. Is it true that it takes half as much work to pump the water out of the tank when it is filled to half its depth as when it is full? Explain.

1.5 m 6 m

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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