Question

Work out the surface area of this solid quarter-cylinder.
Give your answer in terms of pi.

Answer 1

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.