Respuesta :

mhanifa

14 inches

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To find the height of the cylinder, we need to use the formula for the surface area of a cylinder:

  • A = 2πrh + πr²

Given that the radius is 2 inches, and the surface area is 60π square inches, we can substitute these values into the formula:

  • 60π = 2πrh + π(2)²

Next, we can simplify the equation:

  • 60π = 4πh + 4π
  • 56π = 4πh

Dividing both sides by 4π:

  • 14 = h