Multiple choice

The curved surface area of a sphere is 1256 cm$^2$. Find the radius of the sphere. $(\pi = 3.14)$

  1. 100 cm

  2. 10 cm

  3. 1 cm

  4. 314 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The surface area of a sphere is 4 * pi * r^2. Given 1256 = 4 * 3.14 * r^2, then 1256 = 12.56 * r^2. Thus r^2 = 100, so r = 10 cm.

AI explanation

The curved surface area of a sphere is found using the formula 4πr^2. Substituting the given values results in 4 x 3.14 x r^2 = 1256. This simplifies to 12.56 x r^2 = 1256, yielding r^2 = 100. Taking the square root gives a radius of 10 cm.

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