Mathematics
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OpenStudy (anonymous):
3D figures volume.. @jim_thompson5910
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OpenStudy (anonymous):
OpenStudy (anonymous):
could you help me please @jim_thompson5910? sorry
OpenStudy (anonymous):
If all the dimensions of the second box is scaled down by 1/2 then the volume is 2*5*1.5 = 15
OpenStudy (anonymous):
so the answer is 15?
OpenStudy (anonymous):
That is my guess.
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OpenStudy (anonymous):
The word "is" in my response should have been "are".
OpenStudy (anonymous):
@robtobey oh okay i see hmm how about this one?
jimthompson5910 (jim_thompson5910):
the ratio of the two radii is 5/2 = 2.5
So the volume of the larger cylinder will be (2.5)^3 = 15.625 times greater than the smaller cylinder
OpenStudy (anonymous):
so i multiply that by 88 correct?
jimthompson5910 (jim_thompson5910):
yes
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OpenStudy (anonymous):
i got 1,375
jimthompson5910 (jim_thompson5910):
same here
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
what's the ratio of the corresponding sides
OpenStudy (anonymous):
2/5 = 0.4
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OpenStudy (anonymous):
or 5/2 = 2.5
jimthompson5910 (jim_thompson5910):
you're going from small volume (known) to big volume (unknown)
so the ratio will be larger than 1
jimthompson5910 (jim_thompson5910):
so the ratio is 5/2 = 2.5
jimthompson5910 (jim_thompson5910):
cube this ratio to get 2.5^3 = 15.625
now multiply this with the smaller volume to get the larger volume
OpenStudy (anonymous):
I got 31.25
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jimthompson5910 (jim_thompson5910):
smaller volume is 30
larger volume = (scale factor) * (smaller volume)
larger volume = (15.625) * (30)
larger volume = 468.75
OpenStudy (anonymous):
468.75 yeah oops i did it wrong before
OpenStudy (anonymous):
i did the 2 cm instead of the volume of 30 what a dumby lol
jimthompson5910 (jim_thompson5910):
you're fine, no worries, silly mistake
OpenStudy (anonymous):
think i've got this one but need a bit of help
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OpenStudy (anonymous):
ratio is 4/2 = 2
jimthompson5910 (jim_thompson5910):
cube that to get ???
OpenStudy (anonymous):
how do i cube ?
jimthompson5910 (jim_thompson5910):
2^3 = 8
jimthompson5910 (jim_thompson5910):
so you divide the larger volume by 8 to get the smaller volume
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OpenStudy (anonymous):
i've gotten 2,816
jimthompson5910 (jim_thompson5910):
you're going from big volume (known) to small volume (unknown)
jimthompson5910 (jim_thompson5910):
so you divide by the scale factor
OpenStudy (anonymous):
I multiplied oops okay 44
jimthompson5910 (jim_thompson5910):
44 is correct
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OpenStudy (anonymous):
thanks :) i knew i shouldn't of waited til the last minute i'm really behind in math and i end school june 6th silly me
jimthompson5910 (jim_thompson5910):
i get like that too sometimes, but it's a very bad habit since there's so much to do in so little time