+0  
 
-1
114
3
avatar+416 

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
avatar+98102 
+2

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

 

 

cool cool cool

 Dec 9, 2018
 #2
avatar+416 
-1

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
avatar+98102 
+2

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 :

 

 

 

 

 

 

cool cool cool

CPhill  Dec 11, 2018

41 Online Users

avatar
avatar
avatar
avatar