Multiple choice

The area of the curved surface of a sphere is $5544\;m^2$. Find the radius of the sphere.

  1. $12$ m
  2. $20$ m
  3. $22$ m
  4. $21$ m
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D Correct answer
Explanation

Surface area of sphere = 4 * pi * r^2 = 5544. 4 * 22/7 * r^2 = 5544. r^2 = 5544 * 7 / (88) = 441. r = 21.

AI explanation

The curved surface area of a sphere is given by the formula 4 * pi * r^2. Setting this equal to 5544 gives 4 * (22/7) * r^2 = 5544. Solving for r^2 gives 4422, and dividing by 22/7 gives r^2 = 441. Taking the square root gives a radius of 21 m.

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