Multiple choice

If the volume in m3 and the surface area in m2 of a sphere are numerically equal, then the radius of the sphere is

  1. 4 m

  2. 3.5 m

  3. 3 m

  4. 2 m

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume = (4/3) * pi * r^3. Surface Area = 4 * pi * r^2. (4/3) * pi * r^3 = 4 * pi * r^2. r/3 = 1. r = 3.

AI explanation

Given that the volume and surface area of a sphere are numerically equal, we can use their formulas to set up the equation (4/3) * pi * r^3 = 4 * pi * r^2. Dividing both sides by 4 * pi * r^2 leaves r = 3. The radius of the sphere is 3 m.

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