Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Chapter 12.3, Problem 17PPS
To determine

To find: the volume of the given figure

Expert Solution & Answer
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Answer to Problem 17PPS

The volume of the figure is 2628.2cm3 .

Explanation of Solution

Given:

  Pre-Algebra, Student Edition, Chapter 12.3, Problem 17PPS

Calculation:

The objective is to find the volume of the figure.

The volume of the figure is the sum of the volume of the rectangular box and the volume of the two half cylinder.

The volume V of the half cylinder is given by the formula

  V=Bh

where B=12πr2 is the area of the semicircle and h is the height the cylinder.

The volume V of a rectangular prism is given by

  V=lwh

wherel is the length, w is the width and w is the height of the rectangular prism.

Since radius is half the diameter of a circle, so radius of the circle is 82 cm that is 4 cm.

The area B of the semicircle is given

  B=12πr2=12π(4)2=12π16=8π

Put B=8π and h = 23 in the volume formula to find the volume.

Thus, the volume V1 of the half cylinder is

  V1=Bh=8π23=184π184(3.14)[Sinceπ3.14]=578.128

The volume V2 of the rectangular prism is

  V2=lwh=2388=1472

The required volume V is

  V=2V1+V22(578.128)+1472=156.256+14722628.2

Therefore, the volume of the figure is 2628.2cm3 .

Conclusion:

Therefore, the volume of the figure is 2628.2cm3 .

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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