Question

Water flows at the rate of 15 m per minute through a cylindrical pipe having the diameter 20 mm. How much time will it take to fill a conical vessel of base diameter 40 cm and depth 45 cm

Answer 1

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speed of water = 15m/min
cylindrical pipe r=10 mm
conical vessel d=40cm
r'=20cmh = 45cm
let the time taken be x min
distance travelled by water in x min =15×x volume of pipe
for length 15x=volume of conical vessel15x*100×10/10×10/10π=1/3×20×20×45π15x=4×15x=4 min
4mins will be taken to fill the conical vessel