posted by Susie on .
A design on a balloon is 6 cm wide when the balloon holds 44 cm to the third power of air. How much must
the balloon hold for the design to be 24 cm wide?
Since the "width" increases by a factor of 4, the volume will increase by a factor of 4^3 = 64, even if the balloon is not spherical. The only requirement is that the shape remain the same, which is a reasonable assumption. The balloon you are talking about is not spherical; if it were, the original volume would be 113.1 cm^3.
So the answer is 64 x 44 = ___ cm^3.