Multiple choice

If the numerical value of surface area of a sphere is equal to its volume then the radius of the sphere is

  1. 1

  2. 3

  3. 5

  4. 4.7
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Surface area of sphere = 4 * pi * r^2. Volume = 4/3 * pi * r^3. Setting them equal: 4 * pi * r^2 = 4/3 * pi * r^3. 1 = 1/3 * r. r = 3.

AI explanation

The formula for the volume of a sphere is (4/3) * pi * r^3 and the formula for its surface area is 4 * pi * r^2. Setting the numerical values equal gives (4/3) * pi * r^3 = 4 * pi * r^2. Dividing both sides by 4 * pi * r^2 yields r / 3 = 1, so the radius is 3.

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