The surface area of a soft drink with cylindrical shape is given by a formula SA=2×pi×r(r+h), where r cm is radius of can and h cm is the height. The height of a can of wood finish is 5 cm and its surface area is 250cm^2

Substitute values into formula to form quadratic equation using pronumeral, r.

Use quadratic formula to solve the equation and, hence, find radius of can. Round answer to 1 decimal place.

Calculate area of paper label around can. Round answer to nearest square centimeter.

2 answers

SA=2π r(r+h) = 2π r^2 + 2πrh
2π r^2 + 2πr(5) = 250
πr^2 + 5πr -125 = 0

This is just a quadratic, where a = π, b = 5π, and c = -125
remember that π is just a constant, your good calculator has its value built in.

the paper area around the can would be the SA without the end circles.

Go for it, let me know what you get
Is it -8.92 or -22.5