A cylindrical water tank of diameter 1.4m and height 2.1m is being fed by a pipe of diameter 3.5cm through which water flows at the rate of 2 metre per second. In how much time the tank will be filled?

Explanation

Diameter of cylindrical tank, `d = 1.4m`

Radius of tank, `r=1.4/2` = `0.7m`

Height of tank, `h=2.1m`

Diameter of pipe flowing water in tank = `3.5 cm`

Radius of pipe = `d/2 = 3.5/2 cm`

Rate of flow of water = `2 m/s`

`therefore` Time taken to fill the tank = volume of tank / volume of pipe × rate of flow

`pi(r^')^2h^'`/`pi(r^(''))^2h^('')`

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