Question : The total surface area of a hemisphere is 462 cm2. The diameter of this hemisphere is:
Option 1: 28 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 14 cm
Correct Answer: 14 cm
Solution : Here, the total surface area of a hemisphere = 462 cm 2 ⇒ $3\pi r^2 = 462$ ⇒ $ 3 \times \frac{22}{7} \times r^2= 462$ ⇒ $r^2= 49$ ⇒ $ r = 7$ cm $\therefore$ Diameter of the hemisphere $= 2r = 2 \times 7 = 14$ cm Hence, the correct answer is 14 cm.
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