10. A trough with length of 15 m is filled with water. The ends of the trough have a parabolic shape bounded by y =(1/4)x^2 and y = 9, measured in meters. Find the amount of work needed to pump all of the water up out of a 1 m spout at the top of the trough. This is a practice question and the answer is W = 4968ρg J but I don't know understand how to find it with only calculas

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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10. A trough with length of 15 m is filled with water. The ends of the trough have a parabolic shape bounded by
y =(1/4)x^2 and y = 9, measured in meters.

Find the amount of work needed to pump all of the water up out of a 1 m spout at the top of the trough.

This is a practice question and the answer is W = 4968ρg J but I don't know understand how to find it with only calculas

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