Chapter 14.7, Problem 12E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# VolumeIn Exercises 11–14, sketch the solid region whose volume is given by the iterated integral and evaluate the iterated integral. ∫ 0 2 π ∫ 0 2 2 ∫ r 2 − 2 6 r   d z   d r   d θ

To determine

To graph: The solid region whose volume is given by iterated integral 02π022r226rdzdrdθ and to evaluate the integral.

Explanation

Given: âˆ«02Ï€âˆ«022âˆ«r2âˆ’26rdzdrdÎ¸

Graph:

To sketch the solid region with the help of maple follow these commands:

Therefore, the sketch is drawn as shown below:

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