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

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Speed of water = 15m/min

cylindrical pipe r=10 mm

conical vessel d=40cm r'=20cm

h = 45cm

let the time taken be x min

distance travelled by water in xmin =15×x

volume of pipe for length 15x=volume of conical vessel

15x*100×10/10×10/10π=1/3×20×20×45π

15x=4×15

x=4 min

4mins will be taken to fill the conical vessel

cylindrical pipe r=10 mm

conical vessel d=40cm r'=20cm

h = 45cm

let the time taken be x min

distance travelled by water in xmin =15×x

volume of pipe for length 15x=volume of conical vessel

15x*100×10/10×10/10π=1/3×20×20×45π

15x=4×15

x=4 min

4mins will be taken to fill the conical vessel