Multiple choice

If the surface area of a sphere is $144 \pi \ cm^{2}$, then its radius is:

  1. $6 cm$
  2. $8 cm$
  3. $12 cm$
  4. $10 cm$
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A Correct answer
Explanation

Surface area of a sphere is 4 * pi * r^2. Given 4 * pi * r^2 = 144 * pi, we have r^2 = 36, so r = 6 cm.

AI explanation

The surface area of a sphere is given by the formula 4 * pi * radius^2. Setting this equal to 144 * pi gives 4 * pi * radius^2 = 144 * pi. Dividing both sides by 4 * pi results in radius^2 = 36. Taking the square root of 36 gives the radius as 6 cm.

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