Multiple choice

The total surface area of a solid hemisphere is (147\pi) cm2. The volume of the hemisphere is -

  1. $2156/3 cm3$
  2. $2512/7 cm3$
  3. $855 cm3$
  4. $521 cm3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total surface area of hemisphere = 3πr² = 147π, so r² = 49, r = 7 cm. Volume of hemisphere = (2/3)πr³ = (2/3)π × 343 = 686π/3 cm³. In terms of π: this is approximately 718.67 cm³. However, option A gives 2156/3 cm³. Let me verify: 2156/3 = 718.67, which matches. The claimed answer A is correct, as 2156/3 cm³ = (2/3)π × 343 when π ≈ 22/7 is used.

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