Problem:
How many spherical balls can be made from a solid cube whose edge measures 44cm, if each ball has a radius of 2cm?

Solution:

To find the number of spherical balls that can be made from a solid cube, we need to determine the maximum number of balls that can fit inside the cube without overlap. Here's how we can approach this problem:

1. Calculate the volume of the cube:
The volume of a cube is given by the formula V = a^3, where "a" represents the length of the edge. In this case, the edge measures 44cm.
Using the formula, we can calculate the volume of the cube as follows:
V = 44^3 = 85,184 cm^3.

2. Calculate the volume of a single ball:
The volume of a sphere is given by the formula V = (4/3)πr^3, where "r" represents the radius of the sphere. In this case, the radius is 2cm.
Using the formula, we can calculate the volume of a single ball as follows:
V = (4/3) * (22/7) * 2^3 = (4/3) * (22/7) * 8 = 268.19 cm^3 (rounded to two decimal places).

3. Divide the volume of the cube by the volume of a single ball:
To find the maximum number of balls that can fit inside the cube without overlap, we need to divide the volume of the cube by the volume of a single ball.
Number of balls = V_cube / V_ball = 85,184 cm^3 / 268.19 cm^3 = 317.98 (rounded to two decimal places).

Result:
Therefore, the maximum number of spherical balls that can be made from a solid cube with an edge measuring 44cm, each having a radius of 2cm, is approximately 317.98.

Note: Since we cannot have a fraction of a ball, we need to round the result down to the nearest whole number. Therefore, the actual number of balls that can be made is 317.