anonymous
  • anonymous
Two similar pipes are shown. The small pipe has a radius of 18 feet and a height of 21 feet while the large pipe has a height of 28 feet. What is the volume of the large pipe in terms of π? 5,376π ft3 18,432π ft3 6,804π ft3 16,128π ft3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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anonymous
  • anonymous
how can i get the answer without the radius of the big cylinder
amistre64
  • amistre64
the key word is in the term "similar" that means they have the same ratio of linear parts

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amistre64
  • amistre64
21x = 28 when x=28/21 the radius of the larger one is then rx
amistre64
  • amistre64
there might be some fancy device to recall how volume changes with linear stuff, but i can never recall those relations
anonymous
  • anonymous
im still lost i have no idea how to solve this
amistre64
  • amistre64
"how can i get the answer without the radius of the big cylinder"; i just explained how to get the radius of the big cylindar
amistre64
  • amistre64
its 28/21 times bigger than the radius of the small one
anonymous
  • anonymous
ooo my bad..i see now
amistre64
  • amistre64
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Directrix
  • Directrix
The volume of the smaller pipe is: pi * 18*18 * 21 = 6804 pi. The larger pipe is similar to the smaller one and the scale factor from small to large is 21 to 28 which simplifies to 3/4. If two solids are similar the cube of the scale factor is the ratio of the volumes. (3/4) ^3 = 6804 pi / V where V is the volume of the larger solid 27/64 = 6804 pi / V V = (64 * 6804 pi) / 27 = 16 128 pi --> ANS
amistre64
  • amistre64
lol, i knew there was a common factor, just couldnt see that it was 7 ;)
Directrix
  • Directrix
I can move my work if you are still working.
amistre64
  • amistre64
nah, its good. we both got a scalar of 3:4 mine just wasnt simplified
amistre64
  • amistre64
21x = 28 x = 28/21 = 4/3 18*4/3 = 24 Vb = 28(24^2) pi
anonymous
  • anonymous
@amistre64 whats the answer
anonymous
  • anonymous
The answer is the last one

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