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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.