Multiple choice

Let the surface area of a globe be $2464$ sq.cm The radius of the globe is

  1. $14$ cm
  2. $411$ cm
  3. $\displaystyle \sqrt{2464}$ cm
  4. $1232$ cm
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A Correct answer
Explanation

The surface area of a sphere is given by 4 * pi * r^2. Setting 4 * pi * r^2 = 2464 and using pi = 22/7, we get 4 * (22/7) * r^2 = 2464, which simplifies to r^2 = 196. Thus, r = 14 cm.

AI explanation

Using the sphere surface area formula 4 * pi * r^2 = 2464, we substitute pi as 22/7. Dividing 2464 by 4 gives 616, so r^2 = 616 / (22/7) = 616 * 7 / 22. This simplifies to r^2 = 196, meaning the radius r is 14 cm.

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