Chapter 15.6, Problem 21E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use a triple integral to find the volume of the given solid.

**21**. The solid enclosed by the cylinder *y* = *x*^{2} and the planes *z* = 0 and *y* + *z* = 1

To determine

**To find:** The volume of the solid enclosed by the cylinder

Explanation

Let *E* be the region enclosed by the tetrahedron where

The volume of integral for the given is,

Integrate the given integral with respect to *z* and apply the limit of it.

Integrate the given integral with respect to *y* and apply the limit of it.

Integrate the given integral with respect to *x* and apply the limit of it

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