SOLUTION: If all lf the dimensions of a figure are increased by some(multiplying) factor 'k' then the area of the figure will increase by a factor of k2 and the volume increase by k3. If

Algebra ->  Volume -> SOLUTION: If all lf the dimensions of a figure are increased by some(multiplying) factor 'k' then the area of the figure will increase by a factor of k2 and the volume increase by k3. If       Log On


   



Question 1037568: If all lf the dimensions of a figure are increased by some(multiplying) factor 'k' then the area of the figure will increase by a factor of k2 and the volume increase by k3.
If the diameter of a sphere made out of wood is doubled, then by what factor does its volume go up?

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
If the diameter of a sphere is doubled, it's radius is also doubled. If you double the radius, the volume goes up by a factor of 2^3, or 8 times it's original volume!!!!!!!!!