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# A cylindrical glass of radius r and height L is filled ISBN: 9781285740621 127

## Solution for problem 4 Chapter 6

Calculus | 8th Edition

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Problem 4

A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base. (a) Determine a way to slice the water into parallel rectangular cross-sections and then set up a definite integral for the volume of the water in the glass. (b) Determine a way to slice the water into parallel cross-sections that are trapezoids and then set up a definite integral for the volume of the water. (c) Find the volume of water in the glass by evaluating one of the integrals in part (a) or part (b). (d) Find the volume of the water in the glass from purely geometric considerations. (e) Suppose the glass is tilted until the water exactly covers half the base. In what direction can you slice the water into triangular cross-sections? Rectangular cross-sections? Cross-sections that are segments of circles? Find the volume of water in the glass. 7et06ppx04 09/13/06 MasterID: 00769 r L L r

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##### ISBN: 9781285740621

The answer to “A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base. (a) Determine a way to slice the water into parallel rectangular cross-sections and then set up a definite integral for the volume of the water in the glass. (b) Determine a way to slice the water into parallel cross-sections that are trapezoids and then set up a definite integral for the volume of the water. (c) Find the volume of water in the glass by evaluating one of the integrals in part (a) or part (b). (d) Find the volume of the water in the glass from purely geometric considerations. (e) Suppose the glass is tilted until the water exactly covers half the base. In what direction can you slice the water into triangular cross-sections? Rectangular cross-sections? Cross-sections that are segments of circles? Find the volume of water in the glass. 7et06ppx04 09/13/06 MasterID: 00769 r L L r” is broken down into a number of easy to follow steps, and 166 words. Calculus was written by and is associated to the ISBN: 9781285740621. The full step-by-step solution to problem: 4 from chapter: 6 was answered by , our top Calculus solution expert on 11/10/17, 05:27PM. This full solution covers the following key subjects: Water, Glass, Volume, sections, Cross. This expansive textbook survival guide covers 16 chapters, and 250 solutions. Since the solution to 4 from 6 chapter was answered, more than 239 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus, edition: 8.

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