2025 SST PRELIMS P1 Q19

2025 SST PRELIMS P1 Q19

Secondary 4
4 marks

A water tank is formed from a cylinder of radius \(r\) cm and height \(h\) cm above an inverted cone of base radius \(r\) cm and height \(6h\) cm. It is full and leaks at a constant volume rate, becoming empty in 60 minutes.

  1. Find the time taken for the water in the cylinder to drain completely.[2]
  2. Sketch a graph of the height of the water level against time.[2]

Solution:

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Answer:(a) \(20\) min (b) line \((0,7h)\) to \((20,6h)\), then curve to \((60,0)\)

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