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ACT Aspire Math: How Many Pennies Are in Doug's Jar? 3 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
Full Transcript
- 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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