Multiple choice

The ratio of the volume and surface area of a sphere of unit radius:

  1. $4:3$
  2. $3:4$
  3. $1:3$
  4. $3:1$
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. For r=1, Volume = 4/3 * pi, Surface Area = 4 * pi. Ratio = (4/3 * pi) / (4 * pi) = 1/3.

AI explanation

For a sphere with a unit radius of 1, the volume is 4/3 pi r cubed, which equals 4/3 pi. The surface area is 4 pi r squared, which equals 4 pi. The ratio of volume to surface area is 4/3 pi divided by 4 pi, resulting in the ratio 1/3. This gives the ratio as 1:3.

Keep practicing — related questions