Question

water coming out of a pipe is 2 litres/sec and falls in a cylindrical tank of radius r.given height of tank is 2m r=1 the rate of change of height of water level when the tank is 80% filled is x/3pi litres/m².sec,find x​

Answer 1

Answer:

water coming out of a pipe is 2 litres/sec and falls in a cylindrical tank of radius r.given height of tank is 2m r=1 the rate of change of height of water level when the tank is 80% filled is x/3pi litres/m².sec,find x

Answer 2

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

Hope it helps u !!