Jeff tests how the total volume occupied by a fluid contained in a graduated cylinder changes when round marbles of various size are added. He found that the total volume occupied by the fluid, V, in cubic centimeters, can be found using the equation below, where x equals the number of identical marbles Jeff added,one at a time, to the cylinder , and r is the radius of one of the marbles .
`V=24pi+x(4/3pir^3)`
If the volume of the graduated cylinder is `96 pi` cubic centimeters ,then , what is the maximum number of marbles with a radius of 3 centimeters that Jeff can add without the volume of the fluid exceeding that of the graduated cylinder?