Multiple choice

If the curved surface area of a solid sphere is $98.56{cm}^{2}$, then find the radius of the sphere.

  1. $2.8cm$
  2. $28cm$
  3. $6.8cm$

  4. None of these
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A Correct answer
Explanation

Surface area of sphere = 4 * pi * r^2 = 98.56. r^2 = 98.56 / (4 * 3.14) = 98.56 / 12.56 = 7.84. r = sqrt(7.84) = 2.8 cm.

AI explanation

The curved surface area of a sphere is given by the formula 4πr^2. Setting this equal to 98.56 gives (4 x 22/7) x r^2 = 98.56, which simplifies to 88r^2 / 7 = 98.56. Solving for r^2 results in 7.84, meaning the radius r is the square root of 7.84, which is 2.8 cm. The radius is 2.8 cm.

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