Chapter 16.7, Problem 42E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Let *S* be the part of the sphere *x*^{2} + *y*^{2} + *z*^{2} = 25 that lies above the plane *z* = 4. If *S* has constant density *k*, find (a) the center of mass and (b) the moment of inertia about the *z*-axis.

**(a)**

To determine

**To find:** The center of mass.

Explanation

The center of mass

**Formula used:**

By using the spherical coordinates to parameterize the sphere, consider

Find

Substitute

Find

Substitute

Find

Find

**(b)**

To determine

**To find:** The moment of inertia about

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