Multiple choice

The total surface area of a solid hemisphere of diameter 2 cm is equal to

  1. $12 cm^2$
  2. $12 \pi cm^2$
  3. $4 \pi cm^2$
  4. $3 \pi cm^2$
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D Correct answer
Explanation

The total surface area of a solid hemisphere is 3 * pi * r^2. Given the diameter is 2 cm, the radius r is 1 cm, so the area is 3 * pi * (1)^2 = 3 * pi cm^2.

AI explanation

Using the formula for the total surface area of a solid hemisphere, which is three times pi times the square of the radius, we first find the radius from the diameter. The radius is 2 divided by 2, giving 1 cm. Substituting this radius into the formula gives the total surface area as three times pi times 1 squared, which equals 3 pi square cm.

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