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A water tank has the shape of an inverted right cirular cone, whose semi-vertical angle is tan –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 . Water is poured into it at a constant rate of 5 cubic meter per minute. Then the rate (in m/min.), at which the level of water is rising at the instant when the depth of water in the tank is 10 m; is :

1. 1/5 π
2. 1/10 π
3. 1/15 π
4. 2/ π

Correct answer: 1/5 π

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