The volume of a sphere is equal to [tex] \frac{4}{3} \pi r^{3} [/tex]
So in order for us to know the increase in water level we need to know first the volume
The increase in height is equal to the volume of the sphere*3/base area of the cylinder.
[tex] \frac{3( \frac{4}{3} \pi 5^{3} )}{ \pi 6^{2} } = \frac{4*125 \pi }{36 \pi } = \frac{125}{9}=13 \frac{8}{9} [/tex]
Therefore the increase in height is [tex]13 \frac{8}{9} [/tex] cm
If you need the water level after the 3 balls were put just add 70/2=35 cm
then this would result to a height of 48 8/9 cm
