A cylindrical tank has a small hole at bottom. At `t = 0`, a tap starts to supply water into the tank at a constant rate `beta m^3//s`.
(a) Find the maximum level of water `H_(max)` in the tank ?
(b) At what time level of water becomes `h(h lt H_(max))` Given `a` , area of hole, `A` : area of tank.

A cylindrical tank has a hole of 1 cm in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 cm//sec . then the maximum height up to which water can rise in the tank is

A cylindrical tank has a hole of 1cm^(2) in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70cm^(3)//sec , then the maximum height up to which water can rise in the tank is

A cylindrical tank has a holes of 3 cm^(2) in its bottom. If the water is allowed to flow into the tank form a tube above it at the rate of 80 cm^(3)//sec . Then the maximum height up to which water can rise in the tank is

A cylindrical tank has a hole of 2cm^(2) at its bottom if the water is allowed to flow into tank from a tube above it at the rate of 100cm^(3)//s then find the maximum height upto which water can rise in the tank (take =g=10ms^(-2) )

A tank full of water has a small hole at its bottom. Let t_(1) be the time taken to empty the first half of the tank and t_(2) be the time needed to empty the rest half of the tank, then

A large cylindrical tank has a hole of area A at its bottom. Water is oured in the tank by a tube of equal cross sectional area A ejecting water at the speed v.

The bottom of a rectangular swimming tank is 50cm xx20cm. Water is pumped into the tank at the rate of 500cc/mm .Find the rate at which at level of water in the tank is rising

Water is being poured in a vessel at a constant rate alpha m^(2)//s . There is a small hole of area a at the bottom of the tank. The maximum level of water in the vessel is proportional to

A cylindrical tank whose cross-section area is 2000 cm^2 has a hole in its bottom 1 cm ^2 in area. (i) If the water is allowed to flow into the tank from a tube above it at the rate of 140 cm ^3//s , how high will the water in the tank rise ? (ii) If the flow of water into the tank is stopped after the above height has been reached, how long will it take for tank to empty itself through the hole?