Acan of energy drink is a cylinder with the dimensions shown below. how much material is needed to make the can?

The question asks for the surface area of the can. First, we find the area of the two circles. Area is pi * r^2. The areas of each circle separately is 16 * pi, and the area of both circles combined is 32 * pi. Then, we find the area of the body of the cylinder. If we roll the cylinder out, we get a rectangle. The area of a rectangle is length * width. For the cylinder, we see that one side of the rectangle is the circumference of the circle, and the other side is the height of the cylinder. The formula for a circumference of a circle is 2 * pi * r. The circumference of the circle is 8 * pi. We know that the height is 10, so the area of the body of the cylinder is 80 * pi. Finally we add the area of the circles and the area of the body of the cylinder to get 80 * pi + 32 * pi = 112 * pi. 112 pi square cm if material are needed to make the can.

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