A water tank has the slope of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is tan−1(0.5). Water is poured into it at a constant rate of 5 cubic metre per hour. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 4 m. (π=227)

A water tank has the slope of an inverted right circular cone with its

1.	A water tank has the slope of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is tan−1(0.5). Water is poured into it at a constant rate of 5 cubic metre per hour. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 4 m. (π=227)
Answer» A water tank has the slope of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is ${tan}^{- 1} (0.5)$ . Water is poured into it at a constant rate of $5$ cubic metre per hour. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is $4 m .$ $(π = \frac{22}{7})$

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