Question
A solid hemisphere of diameter 8 cm is placed over a
cube whose side is 7 cm. Calculate the total surface area of the combined structure. [Use Ļ = 3]Solution
ATQ,
Let the radius of the hemisphere be ārā cm and the side of the cube be āsā cm. Total surface area of the structure formed = = 5sĀ² + (sĀ² ā ĻrĀ²) + 2ĻrĀ² = 5 Ć 7Ā² + (7Ā² ā 3 Ć 4Ā²) + 2 Ć 3 Ć 4Ā² = 245 + (49 ā 48) + 96 = 245 + 1 + 96 = 342 cmĀ²
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