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 |

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

**(5)**

We have

(1)

Now, perimeter

(2) (Using equation (1))

When

Hence