   Chapter 9.3, Problem 14E ### 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 cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use π ≈ 3.14.

To determine

To calculate:

The approximate cost of constructing one container.

Explanation

Given:

A cylindrical orange juice container has metal bases of radius 1 in. and a cardboard lateral surface 3 in. high. The cost of the metal used is 0.5 cent per square inch and the cost of the cardboard is 0.2 cent per square inch.

Formula used:

The total area of the right circular cylinder with base area B and lateral area L is given by T=L+2B.

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

The base area of the right circular cylinder is B=πr2.

Calculation:

Let r be the radius if the cylinder and h be the altitude of the cylinder.

The cost of the metal used is 0.5 cent per square inch and the cost of the cardboard is 0.2 cent per square inch.

Therefore the cost of construction is 0.2L+0.52B.

0.2L+0

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