Chapter 15.8, Problem 18E

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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.

**18**.
*ρ ^{2} sin ϕ dρ dθ dϕ*

To determine

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:**

From the given condition,

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

Use the equation (1) and separate the given iterated integral and then integrate with respect to

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