BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 80E
To determine

To find: The diameter of cylindrical can.

Expert Solution

Answer to Problem 80E

The diameter of cylindrical can is 4 cm.

Explanation of Solution

Given:

Volume of cylindrical can is 40πcm3 and the height of can is 10 cm.

Formula used: Volume of cylinder

Volume=π×(radius)2×height

Calculation:

Let the diameter of cylindrical can be x.

Tabulate the given information into the language of algebra.

In words In algebra
Diameter of can x
Radius of can x2

Model the equation for the above information.

Volumeofcan=π×(radius)2×height40π=π(x2)2×10

Simplify the above equation for x,

40=x24×10160=x2×10x2=16x=4

Thus, the diameter of cylindrical can is 4 cm.

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