The answer is: The diameter is 4 centimeters.
The explanation is shown below:
1. The volume of the cylinder is:

Where
is the radius (
) and
is the height (
).
Then:
2. The total volume of the 12 spheres is:

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

4. Now, you must solve for the radius:
![r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%5Cpi%7D%7B16%5Cpi%7D%7D%5C%5Cr%3D2cm)
5. The diameter is:

X1+X2 Y1+Y2
--------- , ---------
2 2
Thats the equation. You write that (the equation above) in parentheses.
All the angles and sides are equal.
Putting a = 6 and b= 3/2 in eqn. (1) the required equation is:-
x /6 + 2.y/3 = 1. or, x + 4y = 6. Answer.
79.35 divided by 5 equals: <u><em>15.87</em></u>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>
To check:
243
15.87
<span><u> x 5.00</u>
</span> 0000
<u> 0000</u>
79.35
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>
Hope this helped! :)
<span><em>Any more questions, please ask! :)</em></span>