Question

A can of sweet peas at the local grocery store has a radius of one inch and a height of two inches. How much paper is used for the label on the can of peas?

Answer 1

12.57 square inch

Explanation:

We are given that a can of sweet peas at a store has a radius of 1 inch and a height of 2 inches.

We are to find the amount of paper that is used to label on the can of peas.

So basically, we are to find the lateral surface area of the cylinder (which includes the sides only and not the base and top).

Lateral surface area of cylinder =
`2\pi rh`

Substituting the given values in the above formula.

Amount of paper used to label the can =
`2 * \pi * 1 * 2` = 12.57 square inch

Answer 2

12.57 in² of paper will be used for the label

Explanation:

If the label will cover the entire cylinder of the can but not its lids then we must calculate the area of the cylinder without the lids.

The formula for the area of a cylinder is:

`A = 2\pi rh`

Where r is the radius of the can and ha is the height of the can

We know that

`r = 1\ in\\\\h = 2\ in`

Then area A of the label that will cover the can will be:

`A = 2\pi(1)(2)\\\\A = 4\pi\\\\A = 12.57\ in^2`