A soup can is in the shape of a cylinder with a radius of 1 inch and a height of 3 inches. How much paper is used for the label

Question

3 years ago

10

of the soup can, which covers the lateral surface area of the can?

1 answer:

Nimfa-mama [501] · Answer 1 · 2022-03-24T15:58:56+03:00

Answer:

6*π square inches in terms of pi

18.85 square inches (absolute value)

Step-by-step explanation:

Radius of cylindrical soup can = 1 inch

height of cylindrical soup can = 3 inch

area of paper required will be equal to lateral surface area of cylinder as paper will cover lateral surface space only

lateral surface area of cylinder is expressed by formula = 2 * π* r* h

where is r and h is radius and height of cylinder respectively.

substituting the given value of r and h in formula of lateral surface area of cylinder we have

lateral surface area of cylinder = 2 * π* 1* 3 = 6*π

= > 6 * 3.14 = 18.85 square inches

Therefore of quantity of paper required to label soup can is

6*π square inches in terms of pi

18.85 square inches (absolute value)