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CBSE Class 10 Answered

A conical tank with base radius 20 cm and height 40 cm is initially filled with water. Water drains through a small round hole at the bottom with a diameter of 1cm. Find an expression for the height of water in the tank at time t  
Asked by anitajoshi0912 | 22 Dec, 2021, 09:12: AM
Expert Answer
r over 20 equals h over 40
rightwards double arrow r equals 1 half h
A s space V equals 1 third πr squared straight h
straight V equals 1 over 12 πh cubed
rightwards double arrow dV over dt equals straight h squared over 4 straight pi dh over dt
rightwards double arrow dh over dt equals fraction numerator 1 over denominator 400 straight pi end fraction dV over dt
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