Mathematics (AS & A Level) · Oct / Nov 2025 · Paper 32 · Question 10

h cm 50 cm 50 cm The diagram shows a tank for holding water. The tank is in the shape of a cube of side 50 cm. At time t seconds, the depth of water in the tank is h cm. Water is poured into the tank at a rate of cm s 5000 3 1 - . Water pours out of the tank through a hole in the bottom at a rate proportional to h2. When h = 20, the depth of the water is increasing at a rate of . cms 0 4 1 - . 2

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