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Mathematics 13 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

OpenStudy (anonymous):

@sleepyjess

OpenStudy (anonymous):

@sleepyjess

OpenStudy (anonymous):

@sleepyjess

OpenStudy (sleepyjess):

First we need to find the volume of the 7.5 radius log

OpenStudy (anonymous):

OKay so 7.5 times 7.5 is 56.25

OpenStudy (sleepyjess):

Ok, now 56.25*28?

OpenStudy (anonymous):

1575 :)

OpenStudy (sleepyjess):

Now 1575*3.14

OpenStudy (anonymous):

4945.5

OpenStudy (anonymous):

Do i round

OpenStudy (anonymous):

Next? :)

OpenStudy (anonymous):

Or is that it?

OpenStudy (anonymous):

@sleepyjess

OpenStudy (sleepyjess):

Find the volume of the 5.5 cylinder

OpenStudy (anonymous):

5.5 time s 5.5 = 30.25 and 30.25 times 28 = 847 and 847 times 3.14 = 2659.58

OpenStudy (anonymous):

Correct? @sleepyjess :)

OpenStudy (sleepyjess):

Yes, now just subtract 7.5 log - 5.5 log

OpenStudy (anonymous):

2.2

OpenStudy (sleepyjess):

2.2???

OpenStudy (anonymous):

I mean 2 o.o

OpenStudy (sleepyjess):

how 2? it should be 4945.5-2659.58

OpenStudy (anonymous):

you said 7.5 log - 5.5 log

OpenStudy (anonymous):

but its 2285.92 for 4945.5 - 2659.58 :) @

OpenStudy (anonymous):

@sleepyjess *

OpenStudy (sleepyjess):

yes, the volume of 7.5 log - volume of 5.5 log

OpenStudy (sleepyjess):

subtract them

OpenStudy (anonymous):

2285.92

OpenStudy (sleepyjess):

yep :) that is the answer

OpenStudy (anonymous):

sorry my bad

OpenStudy (anonymous):

:) thank you jessy

OpenStudy (sleepyjess):

it's ok :)

OpenStudy (sleepyjess):

no problem

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