Answer:
a. You can earn about $245
b. You will earn about $35 less if the lid is missing
Step-by-step explanation:
a. To solve this we first need to calculate the surface area of the drum, which has a cylinder shape, therefore it's surface area is given by:
surface area = 2*(pi*r² + pi*r*h)
r = d/2 = 4/2 = 2 ft
surface area = 2*(pi*2² + pi*2*5)
surface area = 2*(4*pi + 10*pi) = 2*14*pi = 28*pi ft²
surface area = 87.96 ft²
Since each square foot pays $2.79, then the total value of the drum is:
value = surface area * 2.79 = 87.96*2.79 = $245.42
b. If the lid of the drum is missing, then the surface area is given by:
area drum with no lid = surface area - lid area
area drum with no lid = 87.96 - pi*(2)² = 87.96 - 12.566 = 75.394 ft²
value = area drum with no lid * 2.79
value = 75.394 * 2.79 = 210.35
loss value = 245.42 - 210.35 = $35.07
