Question

A paint can has a radius of 2.7 inches and a height of 9 inches. If the company wants to create a label to go around the can, how much paper will they need? Round to the nearest hundredth.

Answer 1

152.68 in²

Explanation:

The question asks us to calculate the amount of paper required to wrap around a paint can with a radius of 2.7 inches and a height of 9 inches. To do this we must calculate the curved surface area of the cylindrical paint can using the following formula:

`\boxed{\mathrm{A = 2\pi r h}}`,

where:

A ⇒ curved surface area of cylinder

r ⇒ radius of cylinder

h ⇒ height of cylinder.

Substituting the information above into the formula, we can calculate the amount of paper needed:

A = 2 × π × 2.7 × 9

= 2 × π × 2.7 × 81

= 152.681 in²

= 152.68 in² (rounded to the nearest hundredth)

Therefore, the company will need 152.68 in² of paper to create a label to go around the can.