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Calculus / Calculus: Early Transcendentals 1 / Chapter 6.6 / Problem 25E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Emptying a conical tank A water tank is shaped like an

Chapter 2, Problem 25E

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QUESTION:

Emptying a conical tank 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.

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QUESTION:

Emptying a conical tank 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.

ANSWER:

Step 1 of 4

Given,

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

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