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Water is dropped at the rate of  into a cone of semi-vertical angle . If the rate at which periphery of water surface changes when the height of the water in the cone is 2 m is , then the value of  is


Question ID - 153404 | Toppr Answer

Water is dropped at the rate of  into a cone of semi-vertical angle . If the rate at which periphery of water surface changes when the height of the water in the cone is 2 m is , then the value of  is

1 Answer - 5876 Votes

3537

Answer Key : (5) -

(5)

We have

      (1)

 Now, perimeter

    (2) (Using equation (1))

When

Hence



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