Multiple choice

The volume of a sphere is $4851$cu.cm. Its curved surface area is __________.

  1. $1386cm^2$
  2. $1625cm^2$
  3. $1716cm^2$
  4. $3087cm^2$
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A Correct answer
Explanation

Volume = (4/3) * pi * r^3 = 4851. r^3 = (4851 * 3) / (4 * 22/7) = 1157.625. r = 10.5. Surface Area = 4 * pi * r^2 = 4 * (22/7) * 10.5 * 10.5 = 1386 cm^2.

AI explanation

The volume of a sphere is four thirds times pi times the cube of the radius, which gives 4851 equals 1.333 times 22 over 7 times r cubed. Solving this equation gives the radius as 10.5 centimeters. The curved surface area is 4 times pi times the square of the radius, so substituting 10.5 gives 4 times 22 over 7 times 110.25, resulting in 1386 square centimeters.

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