A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is, \({\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{1}{2}} \right)\). Water is poured into it, at a constant rate of 5 cubic meter per minute. Then, 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 10 m; is:

A water tank has the shape of an inverted right circular cone, whose s

1.	A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is, \({\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{1}{2}} \right)\). Water is poured into it, at a constant rate of 5 cubic meter per minute. Then, 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 10 m; is:
A.	\(\frac{1}{{15\pi }}\)
B.	\(\frac{1}{{10\pi }}\)
C.	\(\frac{2}{\pi }\)
D.	\(\frac{1}{{5{\rm{\pi }}}}\)
Answer» E.

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