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