Question 88
Patrick and Anderson are having a snowball fight. Patrick throws a snowball at Anderson which is shaped like a sphere with a radius of $10$ centimeters. Anderson catches the snowball and uses the snow from the snowball to construct snowballs with radii of $4$ centimeters. Given that the total volume of the snowballs that Anderson constructs cannot exceed the volume of the snowball that Patrick threw, how many snowballs can Anderson construct?