A hemisphere is placed on top of a cylinder with the same base radius. If their combined height is 18 cm and radius is 6 cm, find the total surface area.
Show answer & explanation
Correct answer: B
Explanation
The height of the hemisphere is equal to its radius.
Height of the hemisphere = 6 cm
Therefore, height of the cylinder = 18 - 6 = 12 cm
Curved surface area of the cylinder + Curved surface area of the hemisphere + Base of the cylinder
= 2πrh + 2πr² + πr²
= 2π × 6 × 12 + 3π × 6²
= 144π + 108π
= 252π
= 252 × 22/7
= 792 cm2