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 | 22nd 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

Answered by Renu Varma | 25th Dec, 2021, 04:29: PM