Area and volume ratios of similar cones

Area and volume ratios of similar cones

TGM Original

Two similar cones have base areas \(144\text{ mm}^2\) and \(324\text{ mm}^2\) respectively.

  1. Find the ratio of their heights.
  2. Find the ratio of their volumes.

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Answer:\(\text{(i)}\ 2:3\) \(\text{(ii)}\ 8:27\)

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