Multiple choice

The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.

  1. 27.72 sq. cm

  2. 55.44 sq. cm

  3. 9.24 sq. cm

  4. 13.86 sq. cm
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A Correct answer
Explanation

Total surface area of a hemisphere = 3 * pi * r^2 = 41.58. pi * r^2 = 13.86. Curved surface area = 2 * pi * r^2 = 2 * 13.86 = 27.72.

AI explanation

The total surface area of a hemisphere is given by 3 * pi * r^2, while the curved surface area is 2 * pi * r^2, meaning the curved surface area is exactly two-thirds of the total surface area. Calculating two-thirds of 41.58 gives 27.72 sq. cm as the curved surface area.

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