A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan⁻¹(1/2). Water is poured into it at a constant rate of 5 cubic meters per minute. 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?<p></p>

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan⁻¹(1/2). Water is poured into it at a constant rate of 5 cubic meters per minute. 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?

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Question:

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan⁻¹(1/2). Water is poured into it at a constant rate of 5 cubic meters per minute. 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?

Solution: