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?
Stacey Warren - Expert brainly.com
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21x = 28 when x=28/21
the radius of the larger one is then rx
there might be some fancy device to recall how volume changes with linear stuff, but i can never recall those relations
im still lost i have no idea how to solve this
"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
its 28/21 times bigger than the radius of the small one
ooo my bad..i see now
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
lol, i knew there was a common factor, just couldnt see that it was 7 ;)
I can move my work if you are still working.
nah, its good. we both got a scalar of 3:4 mine just wasnt simplified
21x = 28
x = 28/21 = 4/3
18*4/3 = 24
Vb = 28(24^2) pi