Chapter 9.3, Problem 28E

BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

1 views

A triangle has sides that measure

To determine

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

Explanation

**Given:**

A triangle has sides that measure 15 cm, 20 cm, and 25 cm. A solid is formed when the triangle is revolved about the side of length 20 cm.

**Formula used:**

The volume of the right circular cone is

**Calculation:**

When the triangle is rotated about its 15-cm side, a right circular cone is formed with altitude 20 in and base radius 15 cm as shown below

Thus we have

Substitute the known values in the formula,

Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E

Sect-9.1 P-11ESect-9.1 P-12ESect-9.1 P-13ESect-9.1 P-14ESect-9.1 P-15ESect-9.1 P-16ESect-9.1 P-17ESect-9.1 P-18ESect-9.1 P-19ESect-9.1 P-20ESect-9.1 P-21ESect-9.1 P-22ESect-9.1 P-23ESect-9.1 P-24ESect-9.1 P-25ESect-9.1 P-26ESect-9.1 P-27ESect-9.1 P-28ESect-9.1 P-29ESect-9.1 P-30ESect-9.1 P-31ESect-9.1 P-32ESect-9.1 P-33ESect-9.1 P-34ESect-9.1 P-35ESect-9.1 P-36ESect-9.1 P-37ESect-9.1 P-38ESect-9.1 P-39ESect-9.1 P-40ESect-9.1 P-41ESect-9.1 P-42ESect-9.1 P-43ESect-9.1 P-44ESect-9.1 P-45ESect-9.1 P-46ESect-9.1 P-47ESect-9.2 P-1ESect-9.2 P-2ESect-9.2 P-3ESect-9.2 P-4ESect-9.2 P-5ESect-9.2 P-6ESect-9.2 P-7ESect-9.2 P-8ESect-9.2 P-9ESect-9.2 P-10ESect-9.2 P-11ESect-9.2 P-12ESect-9.2 P-13ESect-9.2 P-14ESect-9.2 P-15ESect-9.2 P-16ESect-9.2 P-17ESect-9.2 P-18ESect-9.2 P-19ESect-9.2 P-20ESect-9.2 P-21ESect-9.2 P-22ESect-9.2 P-23ESect-9.2 P-24ESect-9.2 P-25ESect-9.2 P-26ESect-9.2 P-27ESect-9.2 P-28ESect-9.2 P-29ESect-9.2 P-30ESect-9.2 P-31ESect-9.2 P-32ESect-9.2 P-33ESect-9.2 P-34ESect-9.2 P-35ESect-9.2 P-36ESect-9.2 P-37ESect-9.2 P-38ESect-9.2 P-39ESect-9.2 P-40ESect-9.2 P-41ESect-9.2 P-42ESect-9.2 P-43ESect-9.2 P-44ESect-9.2 P-45ESect-9.3 P-1ESect-9.3 P-2ESect-9.3 P-3ESect-9.3 P-4ESect-9.3 P-5ESect-9.3 P-6ESect-9.3 P-7ESect-9.3 P-8ESect-9.3 P-9ESect-9.3 P-10ESect-9.3 P-11ESect-9.3 P-12ESect-9.3 P-13ESect-9.3 P-14ESect-9.3 P-15ESect-9.3 P-16ESect-9.3 P-17ESect-9.3 P-18ESect-9.3 P-19ESect-9.3 P-20ESect-9.3 P-21ESect-9.3 P-22ESect-9.3 P-23ESect-9.3 P-24ESect-9.3 P-25ESect-9.3 P-26ESect-9.3 P-27ESect-9.3 P-28ESect-9.3 P-29ESect-9.3 P-30ESect-9.3 P-31ESect-9.3 P-32ESect-9.3 P-33ESect-9.3 P-34ESect-9.3 P-35ESect-9.3 P-36ESect-9.3 P-37ESect-9.3 P-38ESect-9.3 P-39ESect-9.3 P-40ESect-9.3 P-41ESect-9.3 P-42ESect-9.3 P-43ESect-9.3 P-44ESect-9.3 P-45ESect-9.3 P-46ESect-9.3 P-47ESect-9.3 P-48ESect-9.3 P-49ESect-9.4 P-1ESect-9.4 P-2ESect-9.4 P-3ESect-9.4 P-4ESect-9.4 P-5ESect-9.4 P-6ESect-9.4 P-7ESect-9.4 P-8ESect-9.4 P-9ESect-9.4 P-10ESect-9.4 P-11ESect-9.4 P-12ESect-9.4 P-13ESect-9.4 P-14ESect-9.4 P-15ESect-9.4 P-16ESect-9.4 P-17ESect-9.4 P-18ESect-9.4 P-19ESect-9.4 P-20ESect-9.4 P-21ESect-9.4 P-22ESect-9.4 P-23ESect-9.4 P-24ESect-9.4 P-25ESect-9.4 P-27ESect-9.4 P-28ESect-9.4 P-29ESect-9.4 P-30ESect-9.4 P-31ESect-9.4 P-32ESect-9.4 P-33ESect-9.4 P-34ESect-9.4 P-35ESect-9.4 P-36ESect-9.4 P-37ESect-9.4 P-38ESect-9.4 P-39ESect-9.4 P-40ESect-9.4 P-41ESect-9.4 P-42ESect-9.4 P-43ESect-9.4 P-44ESect-9.4 P-45ESect-9.4 P-46ESect-9.4 P-47ESect-9.4 P-48ESect-9.4 P-49ESect-9.4 P-50ESect-9.CR P-1CRSect-9.CR P-2CRSect-9.CR P-3CRSect-9.CR P-4CRSect-9.CR P-5CRSect-9.CR P-6CRSect-9.CR P-7CRSect-9.CR P-8CRSect-9.CR P-9CRSect-9.CR P-10CRSect-9.CR P-11CRSect-9.CR P-12CRSect-9.CR P-13CRSect-9.CR P-14CRSect-9.CR P-15CRSect-9.CR P-16CRSect-9.CR P-17CRSect-9.CR P-18CRSect-9.CR P-19CRSect-9.CR P-20CRSect-9.CR P-21CRSect-9.CR P-22CRSect-9.CR P-23CRSect-9.CR P-24CRSect-9.CR P-25CRSect-9.CR P-26CRSect-9.CR P-27CRSect-9.CR P-28CRSect-9.CR P-29CRSect-9.CR P-30CRSect-9.CR P-31CRSect-9.CR P-32CRSect-9.CT P-1CTSect-9.CT P-2CTSect-9.CT P-3CTSect-9.CT P-4CTSect-9.CT P-5CTSect-9.CT P-6CTSect-9.CT P-7CTSect-9.CT P-8CTSect-9.CT P-9CTSect-9.CT P-10CTSect-9.CT P-11CTSect-9.CT P-12CTSect-9.CT P-13CTSect-9.CT P-14CTSect-9.CT P-15CTSect-9.CT P-16CT

Applied Calculus

Multivariable Calculus

Single Variable Calculus

Mathematical Excursions (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Statistics for The Behavioral Sciences (MindTap Course List)

Intermediate Algebra

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Elementary Technical Mathematics

Calculus (MindTap Course List)

Calculus: Early Transcendental Functions

Mathematical Applications for the Management, Life, and Social Sciences

Probability and Statistics for Engineering and the Sciences

Calculus: Early Transcendentals

Single Variable Calculus: Early Transcendentals, Volume I

Finite Mathematics and Applied Calculus (MindTap Course List)

Understanding Basic Statistics

Essentials Of Statistics

Calculus: An Applied Approach (MindTap Course List)

Contemporary Mathematics for Business & Consumers

Single Variable Calculus: Early Transcendentals

Trigonometry (MindTap Course List)

Calculus of a Single Variable

Elements Of Modern Algebra

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Statistics for Business & Economics, Revised (MindTap Course List)

Multivariable Calculus

Calculus (MindTap Course List)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Research Methods for the Behavioral Sciences (MindTap Course List)

Mathematics For Machine Technology

Introduction To Statistics And Data Analysis

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Mathematics: A Practical Odyssey

Study Guide for Stewart's Multivariable Calculus, 8th

College Algebra (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)