SOLUTION: these two cylinders are similar.
the ratio of their volumes is 8:27.
the height of cylinder A is 12cm.
find the height of cylinder B.
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-> SOLUTION: these two cylinders are similar.
the ratio of their volumes is 8:27.
the height of cylinder A is 12cm.
find the height of cylinder B.
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Question 1044254: these two cylinders are similar.
the ratio of their volumes is 8:27.
the height of cylinder A is 12cm.
find the height of cylinder B. Found 2 solutions by ankor@dixie-net.com, ikleyn:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! these two cylinders are similar.
the ratio of their volumes is 8:27.
the height of cylinder A is 12cm.
find the height of cylinder B.
: =
cross multiply
27Va = 8Vb
Va = Vb
let h = the height of cylinder B = ()
divide both sides by
12 = h
h = (12)
h = 40.5 cm
You can put this solution on YOUR website! .
these two cylinders are similar.
the ratio of their volumes is 8:27.
the height of cylinder A is 12cm.
find the height of cylinder B.
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The condition does't say whether A is the larger or the smaller cylinder.
I will assume that A is the smaller cylinder.
Since the cylinders are similar and since the ratio of their volumes is ,
the ratio of their linear dimensions/measures is = (similarity coefficient).
Next, since the height of the smaller cylinder is 12 cm, then the height of the larger cylinder is = 18 cm.