Multiple choice

The volume of a sphere is $38808\ cu.cm$. The curved surface area of the sphere (in ${cm}^{2}$) is:

  1. $5544$
  2. $1386$
  3. $8316$
  4. $4158$
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A Correct answer
Explanation

(4/3) * pi * r^3 = 38808. r^3 = 38808 * 3 / (4 * 3.14159) = 9261. r = 21. Surface area = 4 * pi * r^2 = 4 * (22/7) * 21 * 21 = 5544.

AI explanation

Use the sphere volume formula, V = (4/3) * pi * r^3, setting it equal to 38808 and using pi as 22/7 to find the radius. This gives r^3 = (38808 * 3 * 7) / (4 * 22), which simplifies to r^3 = 9261, so the radius r is 21 cm. Now apply the curved surface area formula, 4 * pi * r^2, to get 4 * (22/7) * 21 * 21. The final curved surface area is 5544 square cm.

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