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
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OpenStudy (anonymous):
I did 7.5 times 7.5
OpenStudy (anonymous):
can you find the volume of the initial log?
OpenStudy (anonymous):
and 5.5 times 5.5 :/ they gave me 2 radius :/
OpenStudy (anonymous):
volume of a cylinder is the area of the circle * length
OpenStudy (anonymous):
so use 7.5?
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OpenStudy (anonymous):
find the volumes of the two cylinders first
OpenStudy (anonymous):
kk the volume of 7.5 times 7.5 is 56.5
OpenStudy (anonymous):
and
OpenStudy (anonymous):
the volume of 5.5 times 5.5 is 30.25
OpenStudy (anonymous):
correct?
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OpenStudy (anonymous):
no, what is the area of a circle?
OpenStudy (anonymous):
?
OpenStudy (anonymous):
i don't get it
OpenStudy (anonymous):
You ditched me o.o
OpenStudy (anonymous):
@mick14731
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OpenStudy (anonymous):
so the area of a circle is \[A = \pi r ^{2} \]
have you seen that before?
OpenStudy (anonymous):
No i've seen V = and the rest
OpenStudy (anonymous):
V = πr2h.
OpenStudy (anonymous):
you can't get the volume without the are of the end.
OpenStudy (anonymous):
its not pi*r*2*h its \[\pi * r ^{2}*h =V\]
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OpenStudy (anonymous):
\[r^{2}= r*r\]
so for the big log r= 7.5in, and h = 28 in so what is the volume?
OpenStudy (anonymous):
so 7.5 times 7.5 = 56.25 times 28?
OpenStudy (anonymous):
@mick14731
OpenStudy (anonymous):
what about pi?
OpenStudy (anonymous):
i'm gonna do the pi wants i do 56.25 times 28
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OpenStudy (anonymous):
and 56.25 times 28 is 1575
OpenStudy (anonymous):
and 1575 times 3.14 is 4945.5
OpenStudy (anonymous):
just write out the volume equation without multiplying any of the numbers yet.
OpenStudy (anonymous):
i'm confused -.-
OpenStudy (anonymous):
Can you just show me in number what to do and i'll understand
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OpenStudy (anonymous):
V= pi * r * r * h
V= 3.14 * 7.5 * 7.5 * 28 that is the log at first
OpenStudy (anonymous):
Thas what i did!!!
OpenStudy (anonymous):
I DID THA! you didn't look at what i said!
OpenStudy (anonymous):
UGH
OpenStudy (anonymous):
@mick14731 !!!!!!!!
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OpenStudy (anonymous):
If you look at the top -.-
OpenStudy (anonymous):
so how does that number help you?
OpenStudy (anonymous):
-.-
OpenStudy (anonymous):
is the answer 4945.5!?
OpenStudy (anonymous):
no, if i had a cube with side = 3 and i cut a square hole down the middle with sides 1, what is the remaining volume? |dw:1424136754966:dw|