Question 847886
The rise in water is accomplished by displacing the water with the volume of the marbles.
Each marble has a volume of 
{{{V[m]=(4/3)*pi*R^3=(4/3)*pi*(0.7)^3=1.437}}}cc
{{{V[tot]=150*V[m]=215.5}}} cc
The volume of a cylinder is {{{V[c]=pi*R^2*L}}}
{{{pi*(3.5)^2*L=150*(4/3)*pi*(0.7)^3}}}
{{{L=150*(4/3)*(0.7/3.5)^2*(0.7)}}}
{{{L=150(4/3)(1/25)(7/10)}}}
{{{L=56/10=28/5}}}cm