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?
I need some help with this I"m really confused really I koe formulas i just need to know HOW to solve

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?
I need some help with this I"m really confused really I koe formulas i just need to know HOW to solve

anonymous · Answer

@pgpilot326

anonymous · Answer

match volumes

anonymous · Answer

what do you mean?

anonymous · Answer

n*volume of 1 penny = volume of jar... solve for n (number of pennies which should theoretically fit in the jar).

anonymous · Answer

n*0.375*0.375*3.14*0.061=3*3*3.14*11.5?

anonymous · Answer

$$n =\frac{\text{volume of jar}}{\text{volume of a penny}}$$

anonymous · Answer

$$n=\frac{ \cancel{\pi}\cdot 3^2 \cdot 11.5 }{ \cancel{\pi} \cdot \left( 0.375 \right)^2 \cdot 0.061 }$$

anonymous · Answer

thats such a big number

anonymous · Answer

that's a bunch of pennies

anonymous · Answer

well thas abount 12 thousand with many other pennys

anonymous · Answer

yep

anonymous · Answer

wel  thats not realistic are you sure?

anonymous · Answer

sure it is.  while you're ultimately not going to be able to fill the entire volume with pennies (there will be air gaps) you could fit alot of pennies in a jar that size.  it's nearly a foot tall and half a foot in diameter!

anonymous · Answer

3.14*3*3*11.5/3.14*0.375*0.375*0.061=324.99/0.0269353125=12065.573770491803278688524590164=12065? corect?

anonymous · Answer

yep, that's what i got

anonymous · Answer

ok