Mass, radius and surface-area ratios

Mass, radius and surface-area ratios

TGM Original

Two ball bearings made from the same material have masses 64 g and 729 g respectively.

  1. Find the ratio of their volumes.
  2. Find the ratio of their radii.
  3. Given that the surface area of the smaller ball bearing is 24 mm², find the surface area of the larger ball bearing.

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Answer:\(\text{(i)}\ 64:729\) \(\text{(ii)}\ 4:9\) \(\text{(iii)}\ 121.5\text{ mm}^2\)

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