Chapter 15, Problem 39RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the volume of the given solid.

**39.** One of the wedges cut from the cylinder *x*^{2} + 9*y*^{2} = *a*^{2} by the planes *z* = 0 and *z* = *mx*

To determine

**To find:** The volume of the given solid.

Explanation

**Given:**

The region *E* is the wedge cut from the cylinder

**Formula used:**

The volume of the given solid is given by,

**Calculation:**

Solve the given equation as given below.

Simplify this further as given below.

From the above equation and from the given conditions, it is observed that *x* varies from 0 to
*y* varies from

Integrate with respect to *x* and apply the limit.

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