Chapter 5.2, Problem 64E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Solve Example 9 taking cross-sections to be parallel to the line of intersection of the two planes.

To determine

**To find:**

Volume of the wedge

Explanation

**1) Concept:**

i) Let

**2) Calculation:**

Given that the cross section is parallel to the line of intersections of two planes

So, cross section forms the rectangle

Equation of circle of radius r centered at origin is

Therefore,

AB is the length of the rectangle

To find the width, consider the triangle as shown below,

From the triangle

Therefore, area of rectangle is

The range of

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