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.
