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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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Emptying a water trough A water trough has a semicircular

Chapter 2, Problem 28E

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QUESTION:

Emptying a water trough A water trough has a semicircular cross section with a radius of 0.25 m and a length of 3 m (see figure).

a. How much work is required to pump the water out of the trough (to the level of the top of the trough) when it is full?

b. If the length is doubled, is the required work doubled? Explain.

c. If the radius is doubled, is the required work doubled? Explain.

                                                  

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QUESTION:

Emptying a water trough A water trough has a semicircular cross section with a radius of 0.25 m and a length of 3 m (see figure).

a. How much work is required to pump the water out of the trough (to the level of the top of the trough) when it is full?

b. If the length is doubled, is the required work doubled? Explain.

c. If the radius is doubled, is the required work doubled? Explain.

                                                  

ANSWER:

Step 1 of 5

Find the area of slices of water at point

                       

Consider the Cross section of the tank,

 with boundary

 length is

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