### Home > PC3 > Chapter 6 > Lesson 6.1.2 > Problem6-39

6-39.

Jessie’s can company makes cylindrical cans and needs help computing the amount of material that is required to create each can based on its volume and radius.

1. Write an algebraic expression for the surface area of the can (including the top and bottom) in terms of its radius and volume. Be sure to define all of the variables you might need to solve this problem before you start. Recall that the volume of a cylinder is $V=\pi r2h$.

$SA=2m^2+2\pi rh$

$\pi rh=\frac{V}{r}$

2. If a can has a volume of $34$ cm3 and a radius of $4$ cm, how much material is needed to create this can?