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Water is flowing at 7m/s through a circular pipe of internal diameter of 2cm into cylindrical tank,the radius of whose base is 40cm. Find the increase in water level in 30 minutes.

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Here to find the height

Volume of cylindrical tank = Area of cross section x Speed of flowing water x time

Rate of flow = 7m/s

radius of pipe, r = 1cm or 0.01m

radius  of tank, R = 40cm or 0.4m

time, t = 1/2hr = 30min =1800sec

area of cross section = area of pipe *speed * time

\pi R^2h=pi r^2 t	imes7 \pi	imes0.4	imes0.4	imes h=pi(0.01)^2	imes1800	imes 7 \h=7.875 ;m

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Deependra Verma

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