Water is drained from a vertical cylindrical tank by opening a value at the base of the tank. It is known that the rate at which the water level drops is proportional to the square root of water depth y, where the constant of proprortionality `kgt0` depends on the acceliration due to gravity and the geomety of the hole. If is measured in minutes and `k=(1)/(15)` then the time of drain the tank, If the water is 4 m deep to start with is

Water is drained from a vertical cylindrical tank by opening a valve at the base of the tank. It is known that the rate at which the water level drops is proportional to the square root of water depth y , where the constant of proportionality k >0 depends on the acceleration due to gravity and the geometry of the hole. If t is measured in minutes and k=1/(15), then the time to drain the tank if the water is 4 m deep to start with is (a) 30 min (b) 45 min (c) 60 min (d) 80 min

Water is poured into an empty cylindrical tank at a constant rate. In 10 minutes, the height of the water increased by 7 feet. The radius of the tank is 10 feet. What is the rate at which the water is poured?

Water is maintained at a height of 10 min a tank. Calculate the diameter of orifice needed at the base of the tank to discharge water at the rate of 26.4 m^(3) per minute.

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 tank has a hole at its bottom. The time needed to empty the tank from level h_(1) to h_(2) will be proportional to

Suppose that water is emptied from a spherical tank of radius 10 cm. If the depth of the water in the tank is 4 cm and is decreasing at the rate of 2 cm/sec, then the radius of the top surface of water is decreasing at the rate of

A boat carrying a number of large stones is floating in a water tank. What will happen to the water level if the stones are unloaded into the water ?

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.

A boat carrying a large number of stones is floating in a water tank. What will happen to water level if the stone are unloaded into water?

About floaring in a water tank is carrying a number of large stones. If the stories were unloaded into water what will happen to water level?