Chapter 5.2, Problem 60E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Find the volume of the described solid *S*.

The base of *S* is the region enclosed by
*x*-axis. Cross-sections perpendicular to the *y*-axis are quarter-circles.

To determine

**To find:**

The volume of solid S whose base is the region enclosed by

Explanation

**1) Concept:**

Definition of Volume:

Let S be a solid that lies between

**2) Calculations:**

The cross sections are perpendicular to the

Therefore, solve the equation of parabola for

So the perpendicular distance of a point from y-axis is

Thus cross section of solid S at

Area of circle is

Therefore, area of a quarter circle is

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