What is the maximum number of barrels which it can store?

Question

A cylindrical barrel has 0.5m radius and a 1.6m height. 

The underground storage area has dimensions 16m x 16m x 2.6m. What is the maximum number of barrels which it can store?

Answer 1

I think you can get 416 barrels in the storage area

Since the radius is 1/2, the diameter of the base is 1m So you should be able to put 16 along the length and width for 16*16=256 Now the barrel height is 1.6m leaving 1m above these 256 barrels. So laying the barrels on their side, you could get 16/1.6 = 10 along the length AND 16/1=16 along the width = 160 Total = 256 + 160 = 416