chavezshaw4858 chavezshaw4858
  • 24-11-2019
  • Mathematics
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The height of an oil tank (cylinder) is 13 yards and the diameter of its base measures 6 yards.Calculate the oil tank's total surface area.

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sqdancefan
sqdancefan sqdancefan
  • 24-11-2019

Answer:

  96π yd² ≈ 301.6 yd²

Step-by-step explanation:

The total surface area of a cylinder, including flat circular top and bottom and curved lateral surface, is given by the formula ...

  S = 2πr² + 2πrh . . . . .  where r is the radius and h is the height

For a radius of 3 yards and a height of 13 yards, the area is ...

  S = 2π(3 yd)² + 2π(3 yd)(13 yd)

  S = 18π yd² + 78π yd²

  S = 96π yd² ≈ 301.6 yd²

The total surface area is about 301.6 square yards.

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