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Mathematics 16 Online
OpenStudy (anonymous):

3D figures volume.. @jim_thompson5910

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.

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

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

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

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

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

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

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

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