A solid hemisphere is joined to a solid cylinder of the same base radius by their flat faces. Find the total surface area of the combined solid (including curved and flat surfaces).
Show answer & explanation
Correct answer: B
Explanation
Given:
Base radius of hemisphere and cylinder = r
Height of cylinder = h
By formula:
Curved surface area of hemisphere = 2πr²
Curved surface area of cylinder = 2πrh
Base area of cylinder = πr²
Total surface area = Curved area of hemisphere + Curved area of cylinder + Base area of cylinder
= 2πr² + 2πrh + πr²
= 3πr² + 2πrh