what would be a good lower bround for the number of jelly beans in the jar?

In order to estimate the amount of beans in the jar, you consider that the jar is a cylinder, which has the following formula for its volume:
V = πr²h
where r is the radius of the base and h is the height of the cylinder.
If you consider that each bean has the dimensions of one unit in a coordinate system, and if you also cosider that the radius of the jar is 4 units and its height is 11 units, you can calculate the volumen of the jarr as follow:
V = π(4)²(11) = 552.92
But each unit equals the dimension of one bean. Thus, you can conclude that inside the jar there are approximately 552 beans.