Multiple choice

The radius of a hemisphere of total surface area 108 π cm2 is

  1. 6 cm

  2. 10 cm

  3. 12 cm

  4. 8 cm
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A Correct answer
Explanation

Total surface area of a hemisphere = 3 * pi * r^2. 3 * pi * r^2 = 108 * pi. r^2 = 36, so r = 6 cm.

AI explanation

The total surface area of a hemisphere includes its curved surface and its circular base, given by the formula 3 * pi * r^2. Setting this equal to the given area yields 3 * pi * r^2 = 108 * pi. Dividing both sides by 3 * pi gives r^2 = 36, so the radius r is 6 centimeters.

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