Water displacement by two sphere sizes

Water displacement by two sphere sizes

Secondary 2
TGM Original Questions

A cylindrical container of diameter 8 cm contains water to a depth of 5 cm. After three identical large spheres and three identical small spheres are fully immersed, the water depth is 23 cm.

  1. Find the total sphere volume in terms of \(\pi\).
  2. A large sphere has twice the radius of a small sphere. Find the large radius.

Solution:

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Answer:(a) \(288\pi\text{ cm}^3\); (b) \(4\) cm.

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