   Chapter 10.1, Problem 79E

Chapter
Section
Textbook Problem

# Area, Volume, and Surface Area In Exercises 75 and 76, find (a) the area of the region bounded by the ellipse, (b) the volume and surface area of the solid generated by revolving the region about its major axis (prolate spheroid), and (c) the volume and surface area of the solid generated by revolving the region about its minor axis (oblate spheroid). x 2 4 + y 2 1 = 1

(a)

To determine

To calculate: The area of the region which is bounded by the ellipse x24+y2=1.

Explanation

Given: Equation of theellipse, x24+y2=1

Formula used: The area of the region which is bounded by an ellipse is given by the formula πab where a is the major axis and b half length of minor axis

(b)

To determine

To calculate: The volume and area of the surface generated by revolving the region of the ellipse about its major axis.

(c)

To determine

To calculate: The volume and area of the surface generated by revolving the ellipse about its minor axis.

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