Question

A cylindrical pipe has inner diameter of 4 cm and water flows through it at the rate of 20 meter per minute.How long would it take to fill a conical tank of radius 40cm and depth 72cm?

Answer 1

Answer:

1 min 12 seconds

Step-by-step explanation:

Cylindrical pipe-

r=4 cm

rate of flow of water=20m per minute

                                  =2000cm per minute

                                  =2000/60 cm per second

Height of the cylinder=200/6 cm

Volume=pi*r*r*h

            =(22/7)*4*4*200/6

            =1676.1904

Conical tank-

r=40cm

h=72cm

Volume=(1/3)*pi*r*r*h

            =(1/3)*(22/7)*40*40*72

            =120685.7142

Time taken=Volume of cone/Volume of cylinder

                 =120685.7142/1676.1904

                 =72s

                 =1 min 12s