A water trough has a semicircular cross section with a radius of 0.25 m and a length

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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 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.

3 m 0.25 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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