+937 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?
+129852 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
+937 I also got 10 in the same way, but for some reason the answer is 8. Do you know how?
+129852 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 :
