   Chapter 10.1, Problem 80E

Chapter
Section
Textbook Problem

# Find the a) Area of the region bounded by the ellipseb) Volume and Surface Area of the solid generated by revolving the region about its major axisc) Volume and Surface Area of the solid generated by revolving the region about its minor axis x 2 16 + y 2 9 = 1

(a)

To determine

To calculate: The area of the region which is bounded by the ellipse x216+y29=1.

Explanation

Given: Equation of the ellipse, x216+y29=1

Formula used: The area of the region which is bounded by an ellipse is given by the formula πa

(b)

To determine

To calculate: The volume and surface area generated by revolving the region of the ellipse x216+y29=1 about its major axis.

(c)

To determine

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

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