Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Question
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Chapter 12.4, Problem 22PPS
To determine

Volume of given figure.

Expert Solution & Answer
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Answer to Problem 22PPS

Volume (V) of given figure is 500298.6ft3

Explanation of Solution

Given:

  Pre-Algebra, Student Edition, Chapter 12.4, Problem 22PPS Diameter (d1) of cylindrical portion =70ft

Radius (r1) of cylindrical portion =(d1)2=35ft

Diameter (d2) of cone =70ft

Radius (r2) of cone =(d1)2=35ft

Height (h1) of cylindrical portion =55ft

Height (h2) of cone =15ft

Concept Used:

Volume of cylindrical part is calculated as,

  V=πr2h

Where,

  V= volume of cylindrical part.

  r= radius of cylindrical part.

  h= height of cylindrical part.

Volume of cone is calculated as,

  V=13πr2h2

Where,

  V= volume of cone.

  r= radius of cone.

  h= height of cone.

Calculation:

For the given composite figure volume is calculated as,

  V=volumeofcone+volumeofcylindricalportionV=13πr12h12+πr22h2

Put the values in the given equation,

  V=volumeofcone+volumeofcylindricalportionV=13πr12h12+πr22h2V=13π(35)2(15)2+π(35)2(55)V=288633.8+211664.8V=500298.6ft3

Conclusion:

Thus, volume (V) of given figure is 500298.6ft3

Chapter 12 Solutions

Pre-Algebra, Student Edition

Ch. 12.1 - Prob. 7PPSCh. 12.1 - Prob. 8PPSCh. 12.1 - Prob. 9PPSCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21PPSCh. 12.1 - Prob. 22HPCh. 12.1 - Prob. 23HPCh. 12.1 - Prob. 24HPCh. 12.1 - Prob. 25HPCh. 12.1 - Prob. 26HPCh. 12.1 - Prob. 27HPCh. 12.1 - Prob. 28HPCh. 12.1 - Prob. 29STPCh. 12.1 - Prob. 30STPCh. 12.1 - Prob. 31STPCh. 12.1 - Prob. 32STPCh. 12.1 - Prob. 33SRCh. 12.1 - Prob. 34SRCh. 12.1 - Prob. 35SRCh. 12.1 - Prob. 36SRCh. 12.1 - Prob. 37SCh. 12.1 - Prob. 38SCh. 12.1 - Prob. 39SCh. 12.2 - Prob. 1CYPCh. 12.2 - Prob. 2ACYPCh. 12.2 - Prob. 2BCYPCh. 12.2 - Prob. 3CYPCh. 12.2 - Prob. 4CYPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5PPSCh. 12.2 - Prob. 6PPSCh. 12.2 - Prob. 7PPSCh. 12.2 - Prob. 8PPSCh. 12.2 - Prob. 9PPSCh. 12.2 - Prob. 10PPSCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 28HPCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 32HPCh. 12.2 - Prob. 33HPCh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37STPCh. 12.2 - Prob. 38SRCh. 12.2 - Prob. 39SRCh. 12.2 - Prob. 40SRCh. 12.2 - Prob. 41SRCh. 12.2 - Prob. 42SRCh. 12.2 - Prob. 43SCh. 12.2 - Prob. 44SCh. 12.2 - Prob. 45SCh. 12.3 - Prob. 1ACYPCh. 12.3 - Prob. 1BCYPCh. 12.3 - Prob. 2CYPCh. 12.3 - Prob. 3CYPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6PPSCh. 12.3 - Prob. 7PPSCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22PPSCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27STPCh. 12.3 - Prob. 28STPCh. 12.3 - Prob. 29STPCh. 12.3 - Prob. 30STPCh. 12.3 - Prob. 31SRCh. 12.3 - Prob. 32SRCh. 12.3 - Prob. 33SRCh. 12.3 - Prob. 34SRCh. 12.3 - Prob. 35SRCh. 12.3 - Prob. 36SRCh. 12.3 - Prob. 37SRCh. 12.3 - Prob. 38SRCh. 12.3 - Prob. 39SCh. 12.3 - Prob. 40SCh. 12.3 - Prob. 41SCh. 12.4 - Prob. 1CYPCh. 12.4 - Prob. 2ACYPCh. 12.4 - Prob. 2BCYPCh. 12.4 - Prob. 3CYPCh. 12.4 - Prob. 4CYPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6PPSCh. 12.4 - Prob. 7PPSCh. 12.4 - Prob. 8PPSCh. 12.4 - Prob. 9PPSCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26HPCh. 12.4 - Prob. 27HPCh. 12.4 - Prob. 28HPCh. 12.4 - Prob. 29HPCh. 12.4 - Prob. 30HPCh. 12.4 - Prob. 31HPCh. 12.4 - Prob. 32STPCh. 12.4 - Prob. 33STPCh. 12.4 - Prob. 34STPCh. 12.4 - Prob. 35STPCh. 12.4 - Prob. 36SRCh. 12.4 - Prob. 37SRCh. 12.4 - Prob. 38SRCh. 12.4 - Prob. 39SRCh. 12.4 - Prob. 40SRCh. 12.4 - Prob. 41SRCh. 12.4 - Prob. 42SCh. 12.4 - Prob. 43SCh. 12.4 - Prob. 44SCh. 12.5 - Prob. 1ACYPCh. 12.5 - Prob. 1BCYPCh. 12.5 - Prob. 2CYPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4CYUCh. 12.5 - Prob. 5PPSCh. 12.5 - Prob. 6PPSCh. 12.5 - Prob. 7PPSCh. 12.5 - Prob. 8PPSCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16PPSCh. 12.5 - Prob. 17PPSCh. 12.5 - Prob. 18HPCh. 12.5 - Prob. 19HPCh. 12.5 - Prob. 20HPCh. 12.5 - Prob. 21HPCh. 12.5 - Prob. 22HPCh. 12.5 - Prob. 23STPCh. 12.5 - Prob. 24STPCh. 12.5 - Prob. 25STPCh. 12.5 - Prob. 26STPCh. 12.5 - Prob. 27SRCh. 12.5 - Prob. 28SRCh. 12.5 - Prob. 29SRCh. 12.5 - Prob. 30SRCh. 12.5 - Prob. 31SRCh. 12.5 - Prob. 32SRCh. 12.5 - Prob. 33SRCh. 12.5 - Prob. 34SRCh. 12.5 - Prob. 35SCh. 12.5 - Prob. 36SCh. 12.5 - Prob. 37SCh. 12.6 - Prob. 1CYPCh. 12.6 - Prob. 2CYPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4CYUCh. 12.6 - Prob. 5PPSCh. 12.6 - Prob. 6PPSCh. 12.6 - Prob. 7PPSCh. 12.6 - Prob. 8PPSCh. 12.6 - Prob. 9PPSCh. 12.6 - Prob. 10PPSCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14PPSCh. 12.6 - Prob. 15PPSCh. 12.6 - Prob. 16PPSCh. 12.6 - Prob. 17PPSCh. 12.6 - Prob. 18PPSCh. 12.6 - Prob. 19HPCh. 12.6 - Prob. 20HPCh. 12.6 - Prob. 21HPCh. 12.6 - Prob. 22STPCh. 12.6 - Prob. 23STPCh. 12.6 - Prob. 24STPCh. 12.6 - Prob. 25STPCh. 12.6 - Prob. 26SRCh. 12.6 - Prob. 27SRCh. 12.6 - Prob. 28SRCh. 12.6 - Prob. 29SRCh. 12.6 - Prob. 30SRCh. 12.6 - Prob. 31SRCh. 12.6 - Prob. 32SRCh. 12.6 - Prob. 33SRCh. 12.6 - Prob. 34SRCh. 12.6 - Prob. 35SRCh. 12.6 - Prob. 36SRCh. 12.6 - Prob. 37SRCh. 12.6 - Prob. 38SCh. 12.6 - Prob. 39SCh. 12.6 - Prob. 40SCh. 12.6 - Prob. 41SCh. 12.6 - Prob. 42SCh. 12.6 - Prob. 43SCh. 12.7 - Prob. 1CYPCh. 12.7 - Prob. 2CYPCh. 12.7 - Prob. 3CYPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5PPSCh. 12.7 - Prob. 6PPSCh. 12.7 - Prob. 7PPSCh. 12.7 - Prob. 8PPSCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15PPSCh. 12.7 - Prob. 16PPSCh. 12.7 - Prob. 17PPSCh. 12.7 - Prob. 18PPSCh. 12.7 - Prob. 19PPSCh. 12.7 - Prob. 20PPSCh. 12.7 - Prob. 21PPSCh. 12.7 - Prob. 22PPSCh. 12.7 - Prob. 23HPCh. 12.7 - Prob. 24HPCh. 12.7 - Prob. 25HPCh. 12.7 - Prob. 26HPCh. 12.7 - Prob. 27STPCh. 12.7 - Prob. 28STPCh. 12.7 - Prob. 29STPCh. 12.7 - Prob. 30STPCh. 12.7 - Prob. 31SRCh. 12.7 - Prob. 32SRCh. 12.7 - Prob. 33SRCh. 12.7 - Prob. 34SRCh. 12.7 - Prob. 35SRCh. 12.7 - Prob. 36SRCh. 12.7 - Prob. 37SCh. 12.7 - Prob. 38SCh. 12.7 - Prob. 39SCh. 12.7 - Prob. 40SCh. 12.7 - Prob. 41SCh. 12.7 - Prob. 42SCh. 12.8 - Prob. 1ACYPCh. 12.8 - Prob. 1BCYPCh. 12.8 - Prob. 2CYPCh. 12.8 - Prob. 3CYPCh. 12.8 - Prob. 4CYPCh. 12.8 - Prob. 1CYUCh. 12.8 - Prob. 2CYUCh. 12.8 - Prob. 3CYUCh. 12.8 - Prob. 4CYUCh. 12.8 - Prob. 5CYUCh. 12.8 - Prob. 6CYUCh. 12.8 - Prob. 7PPSCh. 12.8 - Prob. 8PPSCh. 12.8 - Prob. 9PPSCh. 12.8 - Prob. 10PPSCh. 12.8 - Prob. 11PPSCh. 12.8 - Prob. 12PPSCh. 12.8 - Prob. 13PPSCh. 12.8 - Prob. 14PPSCh. 12.8 - Prob. 15PPSCh. 12.8 - Prob. 16PPSCh. 12.8 - Prob. 17PPSCh. 12.8 - Prob. 18PPSCh. 12.8 - Prob. 19PPSCh. 12.8 - Prob. 20PPSCh. 12.8 - Prob. 21PPSCh. 12.8 - Prob. 22HPCh. 12.8 - Prob. 23HPCh. 12.8 - Prob. 24HPCh. 12.8 - Prob. 25HPCh. 12.8 - Prob. 26HPCh. 12.8 - Prob. 27HPCh. 12.8 - Prob. 28STPCh. 12.8 - Prob. 29STPCh. 12.8 - Prob. 30STPCh. 12.8 - Prob. 31STPCh. 12.8 - Prob. 32SRCh. 12.8 - Prob. 33SRCh. 12.8 - Prob. 34SRCh. 12.8 - Prob. 35SRCh. 12.8 - Prob. 36SCh. 12.8 - Prob. 37SCh. 12.8 - Prob. 38SCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 9QCCh. 12 - Prob. 10QCCh. 12 - Prob. 11QCCh. 12 - Prob. 12QCCh. 12 - Prob. 13QCCh. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQCh. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - Prob. 9MCQCh. 12 - Prob. 10MCQCh. 12 - Prob. 11MCQCh. 12 - Prob. 12MCQCh. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Prob. 16MCQCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 37SGRCh. 12 - Prob. 38SGRCh. 12 - Prob. 39SGRCh. 12 - Prob. 40SGRCh. 12 - Prob. 41SGRCh. 12 - Prob. 42SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STP
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