Chapter 15.8, Problem 17E

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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.

**17**.
*ρ ^{2} sin ϕ dρ dθ dϕ*

To determine

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

Explanation

**Given:**

The region *D* is

**Formula used:**

If
*z* then,

**Calculation:**

Since
*D* is given below in the Figure 1.

Use the equation (1) and separate the given iterated integral. Then, integrate it with respect to

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