   Chapter 9.CR, Problem 24CR 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

A plastic pipe is 3 ft long and has an inside radius length of 4 in. and an outside radius length of 5 in. How many cubic inches of plastic are in the pipe? (Use π   ≈ 3.14 . )

To determine

To find:

The numbers of cubic inches of plastic are in pipe.

Explanation

Formula used:

Volume of inner and outer hollow cylinder:

V=πh(R2r2)

Where R is the radius of outer cylinder and r is the radius of inner cylinder.

Given:

A plastic pipe is 3 ft long and has an inside radius length of 4 in. and an outside radius length of 5 in. (use π= 3.14)

Calculation:

Let us consider the plastic pipe as shown in the figure,

The radius of the outer cylinder is R=4 in.

The radius of the inner cylinder is r=5 in.

Then the given height is measures 3 ft, so we convert into inches measurement.

Also, we know that, one feet is equal to 12 inches.

3feet=312 inches3feet=36 inches

The height of the cylinder is h=12 in.

A Cubic inches is a unit of volume, so we find the volume of hollow cylinder

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