Chapter 15.7, Problem 16E

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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.

**16.**

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 from 0 to 2 and
*xy-*plane with radius 2. *z* varies from 0 to *r*. So, the outline sketch of the given region *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

Sect-15.1 P-1ESect-15.1 P-2ESect-15.1 P-3ESect-15.1 P-4ESect-15.1 P-5ESect-15.1 P-6ESect-15.1 P-7ESect-15.1 P-8ESect-15.1 P-9ESect-15.1 P-10E

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