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  • Water flows at the rate of 10m/minute through a cylindrical pipe 5mm in diameter. how long would it take to fill a conical vessel whose diameter at the base is 40cm and depth 24cm

Water flows at the rate of 10m/minute through a cylindrical pipe 5mm in diameter. how long would it take to fill a conical vessel whose diameter at the base is 40cm and depth 24cm

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$ Diameter of Conical vessel(D) = 40 cm $ \Rightarrow R =0.2 m \\ $ Depth of the vessel (h)= 24 cm =0.24 m \\ Volume of the vessel $ = \frac{1}{3} \pi R^2 h \\ = \frac{1}{3} \times \frac{22}{7}(0.2)^2 \times (0.24) \\ $ Assume it takes t minutes to fill the vessel $ \\ $ Volume of the water $ = \pi (5/2000)^2 \times 10t = $ Volume of the vessel $ \\ \pi (5/2000)^2 \times 10t = \frac{1}{3} \times \pi (0.2)^2 \times (0.24) \\ $ t = 51.2 minutes

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Ravindra Pindel

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