Question

If the label of a can of yams were cut off and laid flat, which expression would give the area, A, of the label with the measurements shown?

A = π • r2 • h
A = π • r • h
A = 2 • π • r • h
A = 2 • r • h

Answer 1

A = 2 • π • r • h is the area of the label

Explanation:

The Label is wrapped around the can fully. So the label will have a area equal to the surface area of the can

The can is the shape of the cylinder with radius r and height h

Area of the label = The the surface area of the cylinder without the top and the base circle

Area of the label =
`2 * \pi * r * h`

Thus is the surface area of the cylindrical portion of the can without the top and the bottom surface