Q:

Your Humanities class is having a recycling project where you have to collect tin cans. If you earn $0.02 for recycling the sweet peas can from Question 5, then how much can you expect to earn for recycling a tomato can that has a 2-inch radius and a height of 5.5 inches? The recycle value is proportional to the surface area.

Accepted Solution

A:
First we look for the surface area of the tomato can.
 We have then:
 A = 2 * pi * r * h
 Substituting values we have:
 A = 2 * pi * 2 * 5.5
 A = 69.12
 Then, we make the following rule of three:
 12.57 in ^ 2 ------> 0.02 $
 69.12 in ^ 2 ------> k
 Clearing k we have:
 k = (69.12 / 12.57) * (0.02)
 k = 0.11 $
 Answer:
 You would expect to win:
 k = 0.11 $
 for recycling tomato cans