Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is dr…

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Question

Chapter 10, Problem 34CP

To determine

To calculate the volume of the tank and how much water can it store

Expert Solution & Answer

Answer to Problem 34CP

volume=97642 in3 Capacity= 423 gallons

Explanation of Solution

Given information:

Diameter of the inner cylinder =20 in

Diameter of the outer cylinder =72 in

height=6 in

Formula used:

Volume of the tank = volume of the outer tank − volume of the inner tank

volume of cylinder=πr2h

Calculation:

Radius of inner cylinder

r=d2=202=10 in

Radius of outer cylinder

r=d2=722=36 in

Now substituting value of inner and outer cylinder in the formula

Volume of the tank =π×36×36×h−π×10×10×h

Taking π and h common

volume=πh(1296−100)

Substituting the value of hvolume=3.14×26×196volume=97641

Now, calculating the storage capacity of the tank

1 in3 of water=0.00433 gallon

Calculating for the volume of the tank

0.00433×97642=423 gallon

Chapter 10, Problem 33CP

Chapter 11.1, Problem 1C

Chapter 10 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

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