A-LevelMathematicsDifferentiationOct/Nov 2015Paper 1 Q36 Marks
[Figure 1] shows an open tank in the shape of a triangular prism. The vertical ends ABE and DCF are identical isosceles triangles. Angle ABE = angle BAE = 30°. The length of AD is 40 cm. The tank is fixed in position with the open top ABCD horizontal. Water is poured into the tank at a constant rate of 200 cm³ s⁻¹. The depth of water, t seconds after filling starts, is h cm (see [Figure 2]).
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