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# Similar Shapes (3d) watch

1. Wine is sold in two similar bottles. The volume of the smaller bottle of wine is 70cl. The volume of the larger bottle of wine is 100cl. The height of the larger bottle of wine is 30cm. Calculate the height of the smaller bottle of wine.

I thought that volume ratio is cubed so finding the cube root would get the height. However I think this is wrong. Any help please?
1. (Original post by nathandavies386)
1. Wine is sold in two similar bottles. The volume of the smaller bottle of wine is 70cl. The volume of the larger bottle of wine is 100cl. The height of the larger bottle of wine is 30cm. Calculate the height of the smaller bottle of wine.

I thought that volume ratio is cubed so finding the cube root would get the height. However I think this is wrong. Any help please?
Ratio of 10:3 for volume to height.

21cm?

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