A soup can has a diameter of 2.75 inches and a height of 4.25 inches. How many square inches of metal are required to make the soup can?

Question

Quizplus · Accepted Answer

The formula for the surface area of a cylinder is 2πr^2 + 2πrh, where r is the radius (half of the diameter) and h is the height.

To find the radius of the soup can, divide the diameter (2.75 inches) by 2:

r = 2.75 / 2 = 1.375 inches

Plug in the values:

Surface area = 2π(1.375)^2 + 2π(1.375)(4.25)

Surface area ≈ 29.91 square inches

Therefore, the amount of metal required to make the soup can is approximately 29.91 square inches. The closest answer choice is B.

A Soup Can Has a Diameter of 2