A scrap metal buyer pays $2.79 per square foot of steel.

a. How much can you earn by selling the steel drum? Round your answer to the nearest dollar.

You can earn about ___ $

b. How much less will you earn if the lid of the drum is missing? Round your answer to the nearest dollar.

You will earn about $ _ less if the lid is missing.

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

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