Question

The radius of a sphere is divided by 3. What is the effect on the volume?
will v be divided by 3?

Answer 1

v = [4 (pi)(r)^3] /3

If r is divided by 3,

v = [4 (pi)(r/3)^3]/3

v = [4 (pi)((r)^3) / 9]/ 3

v = [4(pi)(r)^3] / 27

v = So the volume will be divided by 9 since when the original eqn is divided by the new one, you get that.