29. A tank full of water has the shape of a paraboloid of revolu. tion as shown in the figure; that is, its shape is obtained by rotating a parabola about a vertical axis. (a) If its height is 4 ft and the radius at the top is 4 ft, find the work required to pump the water out of the tank. (b) After 4000 ft-lb of work has been done, what is the depth of the water remaining in the tank?

29. A tank full of water has the shape of a paraboloid of revolu. tion as shown in the figure; that is, its shape is obtained by rotating a parabola about a vertical axis. (a) If its height is 4 ft and the radius at the top is 4 ft, find the work required to pump the water out of the tank. (b) After 4000 ft-lb of work has been done, what is the depth of the water remaining in the tank?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Ch5R problem 29

29. A tank full of water has the shape of a paraboloid of revolu.
tion as shown in the figure; that is, its shape is obtained by
rotating a parabola about a vertical axis.
(a) If its height is 4 ft and the radius at the top is 4 ft, find
the work required to pump the water out of the tank.
(b) After 4000 ft-lb of work has been done, what is the
depth of the water remaining in the tank?

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