   Chapter 10.1, Problem 38E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the exact volume of the solid that results when the triangular region with vertices at 0, 0 , 6, 0 and 6, 4 is rotated about the a) x -axis b) y -axis

To determine

(a)

To find:

The exact volume of solid that results when the triangular region with vertices 0, 0, 6, 0 and 6, 4 is rotated about the x-axis.

Explanation

A triangle is drawn with the vertices 0, 0, 6, 0 and 6, 4.

Then, it is rotated about x-axis.

The resulting solid is a cone.

We have to find the volume of the cone.

Volume of the cone is given by the formula.

V=13πr2h

Substituting the radius and height

To determine

(b)

To find:

The exact volume of solid that results when the triangular region with vertices 0, 0, 6, 0 and 6, 4 is rotated about the y-axis.

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