Asoft drink can have a diameter of 6 cm and a height of 11.5 cm. how much aluminum is used to make the can

Radius = Diameter ÷ 2

Radius = 6 ÷ 2 = 3cm

Surface area = 2πr² + 2πrh

Surface area = 2 π (3)² + 2 π (3) (11.5) = 272.32 cm² (nearest hundredth)

272.32 cm²

You're looking for the total surface of a cylinder, which is composed by two circles, and a rectangle conntecting them.

The area of the two circles is given by

The base of the rectangle is congruent to the circumference of the base circle, and the height is given. The circumference is given by

So, the area of the rectangle is

The cylinder is consists of two circles and the rectangle, so its surface is

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.