Chapter 15.8, Problem 27E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use spherical coordinates.

**27.** Find the volume of the part of the ball *ρ*
* a* that lies between the cones *ϕ* = π/6 and *ϕ* = π/3.

To determine

**To find:** The volume of the given region by using spherical coordinates.

Explanation

**Given:**

The region *B* part of the ball

**Formula used:**

The volume of the given region *B* is,

If
*E* given by

If
*z* then,

The spherical coordinates

**Calculation:**

By the given conditions, it is observed that
*a*,

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