Multiple choice

If the volume in $m^3$ and the surface area in $m^2$ of a sphere are numerically equal, then the radius of the sphere in m is

  1. 4

  2. 2

  3. 3.5

  4. 3
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D Correct answer
Explanation

Volume = (4/3) * pi * r^3. Surface Area = 4 * pi * r^2. Equating them: (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 volume of a sphere is (4/3)(pi)(r^3) and its surface area is 4(pi)(r^2). Setting them equal for numerical equality gives (4/3)(pi)(r^3) = 4(pi)(r^2), which simplifies to r = 3. The radius is 3 m.

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