Section: Math


6) Cindy finds that adding pearls of identical size into a graduated cylinder will change the total fluid volume each time. She has found that the following equation will give her the total fluid inside the cylinder in cubic centimeters regardless of how many pearls are added (NOTE: x represents the number of pearls added.)

V=25pi+x(5/4πr3)

If the total volume is 185pi cubic centimeters, what is the maximum number of pearls with a radius of 4 centimeters that can be added so that the fluid does not exceed the cylinder size?