1.

Water is flowing through a cylindrical pipe of internal diameter 2cm, into a cylindrical tank of base radius 40 cm at the rate of 0.7m/sec. By how much will the water rise in the tank in half an hour?

Answer»

For pipe, r = 1cm 

Length of water flowing in 1 sec, h = 0.7m = 7cm 

Cylindrical Tank, R = 40 cm, rise in water level = H

Volume of water flowing in 1 sec = πr2h = π x 1 x 1 x 70

= 70π 

Volume of water flowing in 60 sec = 70π x 60 

Volume of water flowing in 30 minutes = 70π x 60 x 30

Volume of water in Tank = πr2H = π x 40 x 40 x H 

Volume of water in Tank = Volume of water flowing in 30 minutes 

π x 40 x 40 x H = 70π x 60 x 30 

H = 78.75cm



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