   Chapter 10.1, Problem 37E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Find the exact volume of the solid that results when the triangular region with vertices at 0, 0 , 5, 0 and 0, 9 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, 5, 0 and 0, 9 is rotated about the x-axis.

Explanation

A triangle is drawn with the vertices 0, 0, 5, 0 and 0, 9.

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

To determine

(b)

To find:

The exact volume of solid that results when the triangular region with vertices 0, 0, 5, 0 and 0, 9 is rotated about the y-axis.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 