Chapter 15.7, Problem 15E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Sketch the solid whose volume is given by the integral and evaluate the integral.

**15.**

To determine

**To sketch:** The solid whose volume is given by the iterated integral and evaluate it.

Explanation

**Given:**

The region *D* is

**Calculation:**

Since *r* varies between 0 and 2 and
*xy-*plane with radius 2. *z* varies from 0 to
*D* is given below in the Figure 1.

Integrate the given iterated integral with respect to *z* and apply the limit of it.

Integrate the given iterated integral with respect to *r* and apply the limit of it

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