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ACT Aspire Math: How Many Pennies Are in Doug's Jar? 6 Views


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Description:

A single penny has a volume of 0.36 cubic centimeters. Douglas has a cylindrical jar that is 20 centimeters high and has a radius of 4 centimeters.

If Douglas's jar is completely filled with pennies, approximately how many pennies does Douglas have? Use V = πr2h for the volume of a cylinder.


Transcript

00:02

Okay you math people Here we go Another question for

00:04

you A single penny has evolved you mlle of point

00:07

three six cubic centimeters Douglas has a cylindrical jar that

00:11

is twenty centimeters high and has a radius of four

00:13

centimeters This thing right here if douglas jars completely filled

00:17

with pennies approximately how many pennies does douglas have And

00:21

we're going to use the formula here The volume equals

00:24

pi r squared height for the volume of cylinder Okay

00:30

so doug's been procrastinating about going to the coin star

00:33

kiosk and now his chilean jar of pennies Well time

00:37

to trade those little copper abe lincoln's for some george

00:39

washington's or maybe even a ben franklin do well the

00:42

first step here is to calculate the volume of the

00:43

jar A cylinder with height h and radius r has

00:46

a volume of pi r squared h So we just

00:48

plop in the measurements of douglas jar that gets us

00:51

v equals pi times four squared times twenty which is

00:55

pi times sixteen times funny or three twenty pike cubic

00:59

centimeters Well we need the number for our next step

01:01

in decimal form So it's time to bust out our

01:04

handy dandy calculator and i'll take three point one four

01:07

as pie and that gets us And what is that

01:09

About a thousand and five cubic centimetre or something like

01:12

that Well the number of pennies that fit in the

01:14

jar can be approximated by dividing the volume of the

01:16

jar by the volume of one penny So that gets

01:19

us a was that about a thousand voted by point

01:21

three six gets us in twenty eight hundred so douglas

01:23

can't have half a penny is that we're going around

01:25

the number there too The exact Numbers of 2790 three

01:29

pennies So that's the number It's a twenty seven dollars

01:32

ninety three cents and that's just awesome Just in time

01:34

to pay for another month of his you know shmoop 00:01:36.832 --> [endTime] subscription plan Thank you very much We'll take that

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