please refer the attached final answer. please provide step wise solution

Problem7 A circular cone-shaped container is filled with water at a level h. . At time t=0 a faucet is turned on and starts filling the cone with water at a constant flow rate Q. (a) Determine the expression for the variation of the level of water with time in terms of the initial level and volume (h0,V0) and the feed flow rate Q. (b) At what time will the water start to spill over if the cone was initially filled to 1/3 of the cone's total height? Determine a numerical value for the time in the case where the cone angle is 45,h0=20cm and Q=2I/s. h(t)=h0(1+V0Qt)1/3