SOLUTION: how many (#) .45 inch spheres to fill a 3 inch dia. by 4 inch high cylinder ?

Algebra ->  Bodies-in-space -> SOLUTION: how many (#) .45 inch spheres to fill a 3 inch dia. by 4 inch high cylinder ?      Log On


   



Question 831329: how many (#) .45 inch spheres to fill a 3 inch dia. by 4 inch high cylinder ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many (#) 0.45 inch spheres to fill a 3 inch dia. by 4 inch high cylinder ?
-------
# accommodated by the height:: 4"/(0.45) = 8.89;; round down to 8
----
# accommodated by the cross-section:
Cross-section of the cylinder: pi*1.5^2 = 7.07 in^2
Cross-section of a sphere:: pi*0.225^2 = 0.159
# accommodated by the cross-section = 7.07/0.159 = 44.45; round down to 44
========
Ans: # of spheres accommodated by the cylinder: 44*8 352k
===============================
==================
Cheers,
Stan H.