Each penny is 0.75 inches in diameter and
0.061 inches thick. If the cylindrical glass jar containing the pennies has a diameter of 6 inches and a
height of 11.5 inches, how many pennies can fit inside the jar?How much empty space should exist inside the jar after being filled to
capacity with pennies? Why doesn't this amount of space actually exist in the jar?

Question

Each penny is 0.75 inches in diameter and
0.061 inches thick. If the cylindrical glass jar containing the pennies has a diameter of 6 inches and a
height of 11.5 inches, how many pennies can fit inside the jar?How much empty space should exist inside the jar after being filled to
capacity with pennies? Why doesn't this amount of space actually exist in the jar?

alexandervonhumboldt2 · Answer

@perl
@wio

alexandervonhumboldt2 · Answer

@ganeshie8

alexandervonhumboldt2 · Answer

@Kainui

kainui · Answer

What have you figured out so far, and what ideas do you have? If you don't have any, just make something up and we'll figure it out.

alexandervonhumboldt2 · Answer

i was thinking of volumes but then i realized it is not a method.

kainui · Answer

No that's good, that sounds like the right track. You might have to make up your own method.

alexandervonhumboldt2 · Answer

but read the next question

alexandervonhumboldt2 · Answer

@Kainui

alexandervonhumboldt2 · Answer

@zepdrix

alexandervonhumboldt2 · Answer

@Loser66

fibonaccichick666 · Answer

How many pennies can fit in 6 inches flat?

fibonaccichick666 · Answer

fit in a 6 in circle in a flat layer

alexandervonhumboldt2 · Answer

uh divide area of base by the area of penny

alexandervonhumboldt2 · Answer

@Owlfred

alexandervonhumboldt2 · Answer

@ganeshie8

fibonaccichick666 · Answer

well, you can only have whole pennies we are assuming

alexandervonhumboldt2 · Answer

yeah

fibonaccichick666 · Answer

so the question is, what is the most efficient way to stack pennies

alexandervonhumboldt2 · Answer

wll i got it i have to go

alexandervonhumboldt2 · Answer

i will ask leter another

fibonaccichick666 · Answer

ohhk, well, I know how to do it.  but try and think about it.  Maybe make a model

cwrw238 · Answer

we need to find how many pennies we can lay flat on the bottom of the glass
total area of glass bottom = 9pi 
and area of each penny is 0.375^2 * pi = 0.140625 pi

dividing gives 64 but as there must be some space between the pennies the number is less than that

yamyam70 · Answer

After getting the above, 

Get the total area of the glass jar. (Plane figure). 
Subtract the area of the JAR to the TOTAL number of pennies. 

After getting the result, multiply it by the height that is how much space is left.

yamyam70 · Answer

how many pennies can fit inside the jar?

Get the total number of pennies, multiply it with the height of the jar. Divide it by its own thickness.