Answer
$11.7\text{ mL}$.
Work Step by Step
To find the volume of the 5.25 g of pure silver pellets, you can use the formula:
volume = mass / density
The density of silver is given as 10.5 g/cm^3.
So
volume = 5.25 / 10.5 = 0.5 cm^3
The volume of the silver pellets will cause the water level in the graduated cylinder to rise by 0.5 cm^3:
11.2 mL + 0.5 mL = 11.7 mL
So the water level will rise to 11.7 mL.