   Chapter 9.3, Problem 11E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

For an aluminum can, the lateral surface area is 12 π  in 2 . If the length of the altitude is 1 in. greater than the length of the radius of the circular base, find the dimensions of the can.

To determine

To calculate:

The dimensions of the can.

Explanation

Given:

The lateral surface area of an aluminum can is 12π in2 whose length of the altitude is 1 in greater than the length of the radius of the circular base.

Formula used:

The Lateral surface area of the right circular cylinder is L=2πrh.

Calculation:

Let r be the radius and h be the altitude of the can.

The length of the altitude is 1 in greater than the length of the radius of the circular base.

h=r+1.

We have L=12π in2,h=r+1

Substitute the known values in the formula,

L=2πrh12π=2πr(r+1)r(r+1)=12π2π

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