Question : The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.
Option 1: 27.72 sq. cm.
Option 2: 55.44 sq. cm.
Option 3: 9.24 sq. cm.
Option 4: 13.86 sq. cm.
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Correct Answer: 27.72 sq. cm.
Solution :
The curved surface area of a hemisphere = $2\pi r^2$
The total surface area of a hemisphere = $3\pi r^2$
⇒ $41.58=3\pi r^2$
⇒ $3\pi r^2×\frac{2}{3}=41.58×\frac{2}{3}$
$\therefore 2\pi r^2=27.72$ sq. cm.
Hence, the correct answer is 27.72 sq. cm.
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