Show that apparent depth of a water tank is less than real depth.

An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water. Show that the cost of the material will be least when the depth of the tank is half of its width.

The apparent depth of water in cylindrical water tank of diameter 2 R cm is reducing at the rate of x cm //min when water is being drained out at a constant rate .The amount of water drained in c.c. per minute is (mu_(1) = refractive index of air, mu_(2) = refractive index of water)

Answer the following questions: Does the apparent depth of a tank of water change if viewed obliquely? If so, does the apparent depth increase or decrease?

The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m. ( 1000 l = 1m^3 )

Describe an experiment to show that pressure is the same at all points at the same depth.

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. Water is a natural resource. What is the importance of water in our daily life?