SOLUTION: a basketball has a diameter of about 9.5 inches. if it is put into a cube shaped box for shipping what percentage of the box is filled by the basketball? I worked out the volum

Algebra ->  Volume -> SOLUTION: a basketball has a diameter of about 9.5 inches. if it is put into a cube shaped box for shipping what percentage of the box is filled by the basketball? I worked out the volum      Log On


   

Question 874469: a basketball has a diameter of about 9.5 inches. if it is put into a cube shaped box for shipping what percentage of the box is filled by the basketball?

I worked out the volume which is 448.9 in3
I don't know how to do the percentage part
Found 2 solutions by rothauserc, ewatrrr:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
volume of basketball = 4/3 *pi *r^3 = 4/3 *pi *(9.5/2)^3 = 448.9 cubic inches
volume of cube = (9.5)^3 = 857.4 cubic inches
percentage of basketball that fills box is 448.9 / 857.4 = 0.524 = 52.4 %

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
9.5%5E3+-%284%2F3%29pi%2A%284.75%29%5E3 = 408.45in^3
100%28+408.45%2F857.375%29= 46.64%