Respuesta :

Solution:

Note that:

  • Area of cylinder: 2πrh + 2πr²
  • Area of quarter cylinder: 2πrh + 2πr²/4

Substitute the values into the expression 2πrh + 2πr²/4.

  • 2 x π x 10 x 16 + 2 x π x 10²/4
  • => 320π + 200π/4
  • => 520π/4
  • => 130π cm²

The area of the quarter cylinder is 130π cm².

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