Please help. :(

Will fan and medal:)The radio station is giving the winner of this challenge a prize pack that includes tickets to see his or her favorite band in concert. To start off the challenge, the radio station has placed pennies in a cylindrical glass jar. 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? You must show all work to receive credit.

Question

Please help. :(

 Will fan and medal:)The radio station is giving the winner of this challenge a prize pack that includes tickets to see his or her favorite band in concert. To start off the challenge, the radio station has placed pennies in a cylindrical glass jar. 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? You must show all work to receive credit.

tw101 · Answer

would I do the area of the jar divided by the pennies to see how many can fit? im not sure.

mathstudent55 · Answer

The theoretical maximum number is the volume of the jar divided by the volume of each penny. This number is a maximum number that is not really possible since there will necessarily be gaps between the coins.

tw101 · Answer

okay, so how would I go about doing that if it isnt possible?

tw101 · Answer

@mathstudent55

mathstudent55 · Answer

You can come up with a theoretical maximum, but I don't think it's possible to come up with an exact amount.
Find the volume of the jar. It is a cylinder with diameter 6 in. and height 11.5 in.
Then find the volume of a penny. It is a cylinder with diameter 0.75 in. and height 0.061 in.
The divide the volume of the jar by the volume of the penny.