Water is pouring into a cubiodal reservoir at the rate of 60 litres per minute. If the volume of reservoir is `108 m^3` , find the number of hours it will take to fill the reservoir.

Two pipes together can fill a reservoir in 12 hours. If one pipe can fill the reservoir 10 hours faster than the other, how many hours will the second pipe take to fill the reservoir ?

A tank initially contains 50 gallons of fresh water. Brine contains 2 pounds per gallon of salt, flows into the tank at the rate of 2 gallons per minutes and the mixture kept uniform by stirring, runs out at the same rate. If it will take for the quantity of salt in the tank to increase from 40 to 80 pounds (in seconds) is 206lambda , then find lambda

From a top of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in one hours.

A geyser heats water flowing at the rate of 3.0 litres per minute from 27 ^@C to 77 ^@C . If the geyser operates on a gas burner, what is the rate of consumption of the fuel if its heat of combustion is 4.0 xx 10^4 J//g ?

Water flows a the rate of 10 metres per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the surface is 40 cm and depth 24cm^2 .

The bottom of a rectangular swimming tank is 25 m by 40m. Water is pumped into the tank at the rate of 500 cubic metres per minute. Find the rate at which the level of water in the tank is rising.

A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is tan^-1(0.5) . Water is poured into it at a constant rate of 5 m^3/h . Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 4 m .

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?