Question

A can of tomato soup is 4 1

4
inches tall and has a diameter of 3 inches. The company that
makes the cans uses sheets of metal that are 1,000 in2
.
Completely answer the following questions. Show all work.
1. How many whole cans can the company make out of each sheet of metal?
2. Will there be any metal left over? If so, how much



the can of soup is 3 inch wide and 4 1/4in height

Answer 1

1. 17 whole cans

2. Yes, 38.65 in2 of metal

Explanation:

First we need to find the surface area of the can.

The base and the top of the can have a area of pi*r^2.

If the radius is half the diameter, we have r = 3/2 = 1.5 inches, so:

A1 = pi * 1.5^2 = 7.069 in2

The side of the can has a area of pi*d*h. If the diameter is 3 inches and the height is 4.5 inches, we have:

A2 = pi*3*4.5 = 42.412 in2

So the total area of the can is:

2*A1 + A2 = 56.55 in2

To know how many cans we can make with 1000 in2 of metal, we just need to divide the total metal for the surface area of each can:

number of cans = 1000 / 56.55 = 17.684 cans

We can make 17 cans, and the metal left over is 1000 - 17 * 56.55 = 38.65 in2