Finding Volumes of Similar Solids

Finding Volumes of Similar Solids

Secondary 3

Two cylindrical drums are geometrically similar.
The height of the smaller drum is \(5\) cm.
The height of the larger drum is \(15\) cm.

  1. The diameter of the base of the larger drum is \(7\) cm.
    Find the diameter of the smaller drum.
  2. Find the ratio of the volume of the smaller drum to that of the larger.
    Give your answer in the form \(1:n\).

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Answer:\(\text{(i)}\ \dfrac{7}{3}\text{ cm}=2\dfrac{1}{3}\text{ cm}\) \(\text{(ii)}\ 1:27\)

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