   Chapter 9.3, Problem 25E 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

A rectangle has dimensions of 6 in. by 3 in. Find the exact volume of the solid of revolution formed when the rectangle is rotated about its 6 -in . side.

To determine

To find: The exact volume of the solid of revolution formed when the rectangle is rotated.

Explanation

Given:

A rectangle has dimensions of 6 in. by 3 in. A solid is formed when the rectangle is rotated about its 6-in. side.

Formula used:

The volume of the right circular cylinder is V=πr2h

Calculation:

When the rectangle is rotated about its 6-in side, a right circular cylinder is formed with altitude 6 in and base radius 3 in as shown below

Thus we have h=6,r=3.

Substitute the known values in the formula,

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

7.Find the maximum revenue for the revenue function

Mathematical Applications for the Management, Life, and Social Sciences

Write the sum in sigma notation. 18. 11+14+19+116+125+136

Single Variable Calculus: Early Transcendentals, Volume I

Find the value of the sum. 35. i=1n(i3i2)

Single Variable Calculus: Early Transcendentals 