A farmar connects a pipe of internal diameter 20cm from a canal into a cylindrical tank in his field, which is 10m diameter and 2m deep . If water flows through the pipe at the rate of 3km/h, in how much time wil the tank be filled.
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Let the time taken be x.
Therefore flow of water in pipe in x hrs = 3x km
⇒ length of water column is 3x km = 300000 cm
diameter of pipe is 20 cm
∴ radius = 10cm
diameter of tank is 10 m
∴ radius is 5 m
also, depth of tank is 2 m = 200cm
∵ The water is poured into the tank
∴ volume of pipe = volume of tank
⇒r₁²h₁ = r₂²h₂
⇒10 *10 * 300000x = 500 * 500 * 200
⇒x = 50/30
⇒x =5/3 hr
= 5/3 *60
= 100 mins
Therefore flow of water in pipe in x hrs = 3x km
⇒ length of water column is 3x km = 300000 cm
diameter of pipe is 20 cm
∴ radius = 10cm
diameter of tank is 10 m
∴ radius is 5 m
also, depth of tank is 2 m = 200cm
∵ The water is poured into the tank
∴ volume of pipe = volume of tank
⇒r₁²h₁ = r₂²h₂
⇒10 *10 * 300000x = 500 * 500 * 200
⇒x = 50/30
⇒x =5/3 hr
= 5/3 *60
= 100 mins
darshanb104:
Thanks a lot
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