Question

A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 7m and a radius of 6m . The container will be made from steel (including its top and bottom). Suppose the total cost of the steel will be $18,613.92. How much will the steel cost per square meter? Use 3.14 for pi , and do not round your answer.

Answer 1

Answer:

The cost of the steel will be $38 per square meter.

Step-by-step explanation:

The company wants to make an oil container in the shape of a cylinder. The container will have a height of 7 m and radius of 6 m. The container will be made from steel both the top and bottom is included. This means the total surface area of the cylinder will be made by steel. The total cost of the steel is given by $18,613.92 . The cost of the steel per square meter can be calculated below.

Total surface area of the cylinder = 2πr(r + h)

where

r = radius

h = height

r = 6 m

h = 7 m

Total surface area of the cylinder(container) = 2πr(r + h)

Total surface area of the cylinder(container) = 2π × 6(6 + 7)

Total surface area of the cylinder(container) = 12π(13)

Total surface area of the cylinder(container) = 156 × 3.14

Total surface area of the cylinder(container) = 489.84 m²

Cost per square meter = 18613.92/489.84

Cost per square meter = $38 per square meter.  

The cost of the steel will be $38 per square meter.