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Application of Derivatives question

2019 · 9 Apr · Shift 2 · Q40
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  5. /2019 · 9 Apr · Shift 2 · Q40

Application of Derivatives question

2019 · 9 Apr · Shift 2 · Q40

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan⁡−1(12){\tan ^{ - 1}}\left( {{1 \over 2}} \right)tan−1(21​). Water is poured into it at a constant rate of 5 cubic meter per minute. The 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 10m; is :-
  1. A
    115π{1 \over {15\pi }}15π1​
  2. B
    15π{1 \over {5\pi }}5π1​
  3. C
    110π{1 \over {10\pi }}10π1​
  4. D
    2π{2 \over \pi }π2​
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