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Question:

If the total surface area of a solid hemisphere is 462 cm², find its volume. Note: Take π = 22/7

718.67

716

720.87

840

Solution:

Total surface area of the hemisphere = 462 cm²
Total surface area of the hemisphere = 2πr² + πr² = 3πr²
⇒ 462 = 3πr²
⇒ r = 7 cm
Volume of hemisphere = (2/3)πr³
V = (2/3) × (22/7) × 7³
V = 718.67 cm³