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Mathematics 15 Online
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 http://static.k12.com/calms_media/media/1565500_1566000/1565640/1/5bc2b238e1b24ddfb4dfcab604d3ad0d5ec92a3b/MS_IMC-1401119-110021.jpg

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?

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?

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

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 \[\pi * r ^{2}*h =V\]

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

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

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 !!!!!!!!

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|

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