Question

The first challenge to complete is the Penny Problem. 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.

Answer 1

penny
diameter = 0.75
radius = ? 0.375
height = 0.061
base = (3.14)(0.375)^2 = 0.44
volume = (0.44)(0.061) = 0.027

glass jar
diameter = 6
radius = ? 3
height = 11.5
base = (3.14)(3)^2 = 28.26
volume = (28.26)(11.5) = 324.99 | 325

am i right?

Answer 2

truth

Answer 3

@shelbygt520 @iPwnBunnies @lovebug230 @makayla_finkbeiner_ @ObeySoph▲ @YanaSidlinskiy

Answer 4

so then, 325 / 0.027 = 12,037.04 pennies?

Answer 5

is that right? if not how would i determine the number of pennies in the jar with this info?

Answer 6

@Ashleyisakitty

Answer 7

@ElisaNeedsHelp

Answer 8

@Mr.Man420 @Eli_Moses @haleyu99 @GingaTheNinja<3

Answer 9

@iPwnBunnies get your math butt over here

Answer 10

well, it actually depends how the pennies are placed. there can be diagonal and horizontal pennies. Each different one can take up a different space

Answer 11

Hm, well first I would to fine what the volume of the jar, v = π*r^2*h

Answer 12

find*

Answer 13

ooh im not good at this o.o but @iPwnBunnies is ^-^

Answer 14

well, that info isn't given so it would have to be an estimate

Answer 15

penny
diameter = 0.75
radius = ? 0.375
height = 0.061
base = (3.14)(0.375)^2 = 0.44
volume = (0.44)(0.061) = 0.027

glass jar
diameter = 6
radius = ? 3
height = 11.5
base = (3.14)(3)^2 = 28.26
volume = (28.26)(11.5) = 324.99 | 325

all the data i calculated

Answer 16

I'm just not sure if 325 / 0.027 = 12,037.04 pennies

Answer 17

@nincompoop

Answer 18

@RatzLover95

Answer 19

is the calculation above, (below the data) correct? for the amount of pennies in ar jar? (estimate if was actual contest)

Answer 20

Hm, v = (3.14)*3^2*11.5 <-- this is based on your information >.>

v = 3.14 * 9 * 11.5

v = 325, volume of the pennies is roughly 0.32 -- V= \pi * (0.375)^2(0.75)

I tried to divide it to see how may would fit, 325/0.33 = 984.48 --> 985ish

Answer 21

U_U LaTeX failed ;-;

Answer 22

you sure you use the diameter and not the height? @tHe_FiZiCx99

Answer 23

http://prntscr.com/3c5vnp

Answer 24

because the formula is (pi)(radius)^2(height)=volume

Answer 25

I did use the hieght

Answer 26

no 0.061 is the height

Answer 27

0.75 is the diameter

Answer 28

" Each penny is 0.75 inches in diameter and 0.061 inches"

Answer 29

"
diameter = 0.75
radius = ? 0.375
height = 0.061
"

Answer 30

yea 0.75 is the diameter, and 0.061 is the thinkness/height

Answer 31

Read the problem over xD

Answer 32

Each penny is 0.75 inches in diameter and 0.061 inches thick
Each penny is (0.75 inches in diameter) and (0.061 inches thick)

Answer 33

0.75 inches in diameter
0.061 inches thick = height

Answer 34

XD wow, lol

Answer 35

Yup

Answer 36

think i should finish this tomorrow?

Answer 37

Why tomorrow? :O

Answer 38

i have done 3 assignments in geometry already, 2 exams and 1 activity/quiz like this

Answer 39

and my dad want me to "finish"

Answer 40

That's up to you lol xD, My average is 11 Math assignments and Science. I view it as, why put it off if I can do it now. I am taking a break for a few mins, I just finished doing 17 assignments these past 2 days for Science. I'm done with that, I'm requesting an other course soon :P

Answer 41

@Squirrels can you please help? this is really irritating... i have all the data, but i need how to use it to get the pennies in a jar

Answer 42

We just did it :o have fun though! Bye :> I believe Pwn is offline >.>

Answer 43

@iPwnBunnies can you please help? this is really irritating... i have all the data, but i need how to use it to get the pennies in a jar