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# 3GTG 3

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Cylindrical drums measuring 3 feet high and 2 1/2 feet in diameter are to be placed in a storage area. The floor of the storage area is a rectangle measuring 7 feet by 7 1/2 feet, and the drums cannot be stacked. What is the greatest number of drums that can be placed in the storage area?

Dec 9, 2018

#1
+107493
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Floor area of 1 drum =

pi * ( 1.25)^2  =    1.5625 pi  ft^2     (1)

Total Floor Area = 7 * 7.5 = 52.5 ft^2   (2)

Number of drums that can be placed =  (2) / (1) =

52.5 / [ 1.5625 pi ]  ≈  10 drums

Dec 9, 2018
#2
+929
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I also got 10 in the same way, but for some reason the answer is 8. Do you know how?

dgfgrafgdfge111  Dec 9, 2018
#3
+107493
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I think it is because I didn't consider the space between the barrels....

Notice that......if we had 1 barrel....the actual area occupied by the barrel is a  2.5 x 2.5 square  =

6.25 ft^2

So    52.5 / 6.25  = 8.4 barrels....( round to 8 barrels)

To get a feel for this....look at the following image :

CPhill  Dec 11, 2018