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
Answer (1)
20th Jan, 2024
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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