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

The level of water in a tank is 5 m high . A hole of the area 10 cm^2 is made in the bottom of the tank . The rate of leakage of water from the hole is

The level of water in a tank is 5 m high . A hole of the area 10 cm^2 is made in the bottom of the tank . The rate of leakage of water from the hole is

Water is being poured on to a cylindrical vessel at the rate of 1(m^(3))/(min) .If the vessel has a circular base of radius 3m ,find the rate at which the level of water is rising in the vessel.

The level of water in a tank is 5m high.A hole of area 1cm^2 is made in the bottom of the tank. The rate of leakage of water from the hole is (g=10ms^(-2)

A cylindrical tank of base area A has a small hole of areal a at the bottom. At time t=0 , a tap starts to supply water into the tank at a constant rate alpha m^(3)//s . (a) What is the maximum level of water h_(max) in the tank? (b) find the time when level of water becomes h(lt h_(max)) .

Water is maintained at a constant level of 4.9 m in a big tank. The tank has a small hole to the wall near the bottom. The bottom of the tank is 2.5 above the ground level. The horizontal distace at which water touches are ground is

A large tank containing water has a small hole near the bottom of the tank 1.5 m below the surface of water. What is the velocity of water flowing from the hole?

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. 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