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Get Full Access to Calculus - 8 Edition - Chapter 12 - Problem 8
Get Full Access to Calculus - 8 Edition - Chapter 12 - Problem 8

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# A solid has the following properties. When illuminated by

ISBN: 9781285740621 127

## Solution for problem 8 Chapter 12

Calculus | 8th Edition

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Problem 8

A solid has the following properties. When illuminated by rays parallel to the z-axis, its shadow is a circular disk. If the rays are parallel to the y-axis, its shadow is a square. If the rays are parallel to the x-axis, its shadow is an isosceles triangle. (In Exercise 12.1.48 you were asked to describe and sketch an example of such a solid, but there are many such solids.) Assume that the projection onto the xz-plane is a square whose sides have length 1. (a) What is the volume of the largest such solid? (b) Is there a smallest volume?

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