Multiple choice

The radius of a sphere whose volume and surface area have same value is:

  1. 1 unit

  2. 2 units

  3. 3 units

  4. 4 units
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of sphere = (4/3) * pi * r^3. Surface area = 4 * pi * r^2. Setting them equal: (4/3) * pi * r^3 = 4 * pi * r^2. Dividing by 4 * pi * r^2 gives r/3 = 1, so r = 3.

AI explanation

The formula for the surface area of a sphere is 4 * pi * r^2, and the formula for its volume is (4/3) * pi * r^3. Equating the two gives 4 * pi * r^2 = (4/3) * pi * r^3, which simplifies to r = 3. The radius of the sphere is 3 units.

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