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select the correct answer. The curved sides of large storage tanks at a refinery need to be painted. What is the approximate area of each tank that will be painted?

Answer :

The approximate area of each tank that will be painted is 2287.08 ft².

How to find the lateral surface area of a cylinder?

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that:

  • Radius of the considered cylinder = 'r' units
  • Height of the considered cylinder = 'h' units

Then, the lateral surface area of that cylinder is:

[tex]S_L = 2\pi r h \: \rm unit^2[/tex]

The missing image is attached below.

The tank is cylindrical in shape.

For this case, we've got:

  • Diamter of the considered cylinder = d = 28 ft
  • Height of the considered cylinder = h = 26 ft

Radius = half of diameter = 28/2 = 14 ft

Thus, the curved surface area of each of such tanks is:

[tex]S_L = 2\pi r h = 2\pi (14)(26) = 728\pi \approx 2287.08 \: \rm ft^2[/tex]

Thus, the approximate area of each tank that will be painted is 2287.08 ft².

Learn more about lateral surface area of a cylinder here:

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