Question
A hemisphere of radius 14 cm is placed on a flat surface
with its curved side touching the surface. A cylinder with the same radius and height of 14 cm is placed on top of the hemisphere. Find the total surface area of the combined solid.Solution
Curved surface area of hemisphere = 2πr² = 2 × (22/7) × 14² = 1232 cm² Curved surface area of cylinder = 2πrh = 2 × (22/7) × 14 × 14 = 1232 cm² Base area of cylinder = πr² = (22/7) × 14² = 616 cm² Total surface area = 1232 + 1232 + 616 = 3080 cm² Correct option: b
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