The volume of a solid hemisphere is 396/7 cubic cm. Find the total surface area of the hemisphere.
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Correct answer: D
Explanation
Volume = 396/7 cm³
According to the formula:
Volume of hemisphere = (2/3)πr³
Total surface area = 3πr²
(2/3) × 22/7 × r³ = 396/7
⇒ (44/21)r³ = 396/7
⇒ r³ = (396/7) × (21/44)
⇒ r³ = 27
⇒ r = 3
Total surface area = 3 × 22/7 × 3² =84.85 square centimeters