Mathematics
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OpenStudy (anonymous):
Kirsten used a log to make an umbrella stand. The log was 28 in. tall and had a radius of 7.5 in. Kirsten cut a cylindrical shape, with a radius of 5.5 in., out of the center of the log.
After Kirsten cuts out the cylinder, what is the volume of the remaining portion of the log? Use 3.14 to approximate pi, and express your answer to two decimal places.
_______in^3
11 years ago
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OpenStudy (anonymous):
@sleepyjess
11 years ago
OpenStudy (anonymous):
@sleepyjess
11 years ago
OpenStudy (anonymous):
@sleepyjess
11 years ago
OpenStudy (sleepyjess):
First we need to find the volume of the 7.5 radius log
11 years ago
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OpenStudy (anonymous):
OKay so 7.5 times 7.5 is 56.25
11 years ago
OpenStudy (sleepyjess):
Ok, now 56.25*28?
11 years ago
OpenStudy (anonymous):
1575 :)
11 years ago
OpenStudy (sleepyjess):
Now 1575*3.14
11 years ago
OpenStudy (anonymous):
4945.5
11 years ago
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OpenStudy (anonymous):
Do i round
11 years ago
OpenStudy (anonymous):
Next? :)
11 years ago
OpenStudy (anonymous):
Or is that it?
11 years ago
OpenStudy (anonymous):
@sleepyjess
11 years ago
OpenStudy (sleepyjess):
Find the volume of the 5.5 cylinder
11 years ago
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OpenStudy (anonymous):
5.5 time s 5.5 = 30.25 and 30.25 times 28 = 847 and 847 times 3.14 = 2659.58
11 years ago
OpenStudy (anonymous):
Correct? @sleepyjess :)
11 years ago
OpenStudy (sleepyjess):
Yes, now just subtract 7.5 log - 5.5 log
11 years ago
OpenStudy (anonymous):
2.2
11 years ago
OpenStudy (sleepyjess):
2.2???
11 years ago
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OpenStudy (anonymous):
I mean 2 o.o
11 years ago
OpenStudy (sleepyjess):
how 2? it should be 4945.5-2659.58
11 years ago
OpenStudy (anonymous):
you said 7.5 log - 5.5 log
11 years ago
OpenStudy (anonymous):
but its 2285.92 for 4945.5 - 2659.58 :) @
11 years ago
OpenStudy (anonymous):
@sleepyjess *
11 years ago
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OpenStudy (sleepyjess):
yes, the volume of 7.5 log - volume of 5.5 log
11 years ago
OpenStudy (sleepyjess):
subtract them
11 years ago
OpenStudy (anonymous):
2285.92
11 years ago
OpenStudy (sleepyjess):
yep :) that is the answer
11 years ago
OpenStudy (anonymous):
sorry my bad
11 years ago
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OpenStudy (anonymous):
:) thank you jessy
11 years ago
OpenStudy (sleepyjess):
it's ok :)
11 years ago
OpenStudy (sleepyjess):
no problem
11 years ago