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 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent

Answer 1

The cost of required steel is
`169.56 *27 = 4578.12` dollars

Explanation:

The surface area of cylinder will be equivalent to the area of the steel sheet.

Surface area of cylinder
`= 2\pi rh+2\pi r^2`

Substituting the given values we get

Surface area of cylinder

`= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56`square meter

Cost of 1 square meter of steel is $27

Then, the cost of required steel is

`169.56 *27 = 4578.12` dollars