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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


Area of cross section of cylindrical pipe = π/16 cm^2. therefore volume of water flowing through the pipe per minute = π/16*10*100 cm^3 = 125π/2 cm^3. volume of cone = 1/3*π*400*24 = 3200π cm^3. therefore time taken to fill the cone = 3200π*2/125π = 6400/125 = 51.2 minutes. 
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