Multiple choice

The total surface area of a solid hemisphere is 108π cm2. Find the volume of the hemisphere. एक अर्द्ध गोले का कुल पृष्ठीय क्षेत्रफल 108π सेमी2. है। अर्द्धगोले का आयतन ज्ञात कीजिए।

  1. 72π cm3.

  2. 144π cm3.

  3. 108 cm3.

  4. 54 cm3.
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B Correct answer
Explanation

Total surface area of hemisphere = 3πr² = 108π, so r² = 36 and r = 6 cm. Volume of hemisphere = (2/3)πr³ = (2/3)π(216) = 144π cm³. The key is remembering the total surface area includes the circular base (3πr² not 2πr²).

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