Question

May you guys help me ?

A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 66π square inches and the radius of the can is 3 inches, what is the height of the can?

22 inches
11 inches
9 inches
6 inches

Answer 1

We can start by using the formula for the lateral surface area of a cylinder: L = 2πrh, where r is the radius of the base, h is the height, and π is approximately 3.14.

The area of the label is the lateral surface area plus the area of the two circular bases, which gives us:

66π = 2π(3)(h) + 2π(3)^2

66 = 6h + 18

48 = 6h

h=8