Chapter 15.7, Problem 17E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use cylindrical coordinates.

**17**. Evaluate
*E* is the region that lies inside the cylinder *x ^{2} + y^{2} =* 16 and between the planes

To determine

**To evaluate:** The given triple integral by using cylindrical coordinates.

Explanation

**Given:**

The function is

The region *E* lies inside the cylinder

**Formula used:**

If
*E* given by

If
*z* Â then,

The cylindrical coordinates

**Calculation:**

By the given conditions, it is observed that *r* varies from 0 to 4,
*z* varies from

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