A cylinder inside a rectangular water tank

A cylinder inside a rectangular water tank

Secondary 2
TGM Original Questions

A solid cylinder of radius \(2r\) cm and height \(h\) cm stands inside a tank of dimensions \(6r\) cm by \(4r\) cm by \(h\) cm. Using \(\pi=3.14\), its volume is \(2512\text{ cm}^3\).

  1. Express \(h\) in terms of \(r\).
  2. The tank is filled around the cylinder; find water volume in litres.
  3. After removing the cylinder, express the new water depth in terms of \(r\).

Solution:

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Answer:(a) \(200/r^2\) cm; (b) \(2.288\) L; (c) \(286/(3r^2)\) cm.

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