Question

Jacque is using a soup can for a school project and wants to paint it. If the can is 11 cm tall and has a diameter of 9 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14.

374.45 cm2
139.50 cm2
699.44 cm2
438.03 cm2

Answer 1

The surface area of the soup can is given by the formula:

SA = 2πr² + 2πrh

where r is the radius of the circular ends of the can, h is the height of the can, and π is approximately 3.14.

The radius of the can is half of the diameter, so r = 4.5 cm.

Therefore, the surface area of the can is:

SA = 2π(4.5)² + 2π(4.5)(11)

SA = 2π(20.25) + 2π(49.5)

SA = 40.5π + 99π

SA = 139.5π

Approximating π as 3.14, we get:

SA ≈ 139.5 × 3.14

SA ≈ 438.03 cm²

Therefore, at least 438.03 square centimeters of paint are needed to cover the can.

So, the answer is 438.03 cm2.

I Hope This Helps!