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 |
(5)
We have
(1)
Now, perimeter
(2) (Using equation (1))
When
Hence