The base of a water tank is a square of side 3 ft. find the rate of flow of water in the tank, if the water-level at the rate of 1 fr/min.

A hole of area 1mm^2 opens near the bottom of a large water storage tank and a stream of water shoots from it. If the top of water in the tank is to be kept at 20m above the point of leak, how much water in litres/sec should be added to the reservoir tank to keep this level? (g=10m//s^2)

The rate of water absorption is considered to be approximately equal to the rate of

Half of a tank of length 21 dcm , breadth 11 dcm and depth 6 dcm and depth 6 dcm is full of water . If 100 spheres made of iron and of diameter 21 cm each are fully immeresed into this water of tank , then how many dcm of the water - level of the tank will be raised ?

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 pumped out at a constant rate of 88 m^(3) /min from a conical container held with its axis vertical, if the semi-vertcal angle of the cone is 45^(@) , find the rate of deperssion of the water level when the depth of water level is 2 meters (pi = (22)/(7)) .

If 64 water filled buckets of equal measure are taken out from a cubical water fiUed tank, then 1/3 rd of water remains in the tank. If the length of one edge of the tank is 1 ·2 m, then calculate the quantity of water that can be hold in each bucket ?

Water is leaking from a conical funnel at the rate of 5 cm^3/sec. If the radius of the base of the funnel is 5 cm and the altitude is 10 cm, find the rate at which the water level is dropping when it is 2.5 cm from the top.

The rate of increase of a side of a square is 1 cm/sec. The rate of increase of area of the square, when length of a side of the square is 2 cm, is

The rate of absorption of water is slow at temperature near freezing point

Answer any two questions : If 64 buckets of water is withdrawn from a cubical water tank, full of water, then 1/3 of water in the tank still remains. If the length of the side of the water tank is 1.2 metre than what is the capacity (in litre) of each bucket? (1 cubic decimeter = 1 litre)