An open tank of square base is to be constructed which has a given quantity of water. Prove that for least material used for the construction of tank, the depth will be half of the width of tank.

An open tank with a square base and vertical sides is to be constructed form a metal sheet so as to hold a given quantity of water. Show that the cost of material will be least when depth of tank is half its width. If the cost is to be borne by nearby settled lower income families, for whom water will be provided, what kind of value is hidden in the question

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 depth of the tank is half of its width.

An open tank is to be constructed with square base and vertical sides so as to contain a given quantity of water.Show that the expenses of lining with lead will be least,if depth is made half of width.

A water tank is supported by four pillars. The pillars are strong enough to sustain ten times the stress developed in them when the tank is completely full. An engineer decides to increase the every dimension of the tank and the pillars by hundred times so as to store more water. Do you think he has taken a right decision? Assume that material used in construction of the tank and pillars remain same.

If one-third of a tank holds 80 litres of water, then the quantity of water that half of the tank holds is

An open cylindrical tank whose base is a circle is to be constructed of metal sheet so as to contain a volume of pi a^(3)cu.cm of water.Find the dimensions so that the quantity of metal sheet required is a minimum.

A tank with vertical walls is mounted so that its base is at a height H above the horizontal ground. The tak is filled with water to a depth h . A hole is puched in the side wall of the tank at a depth x below the water surface. To have maximum range of the emerging stream, the value of x is

An open tank of cross sectional area A contains water up to height H. It is kept on a smooth horizontal surface. A small orifice of area A_(0) is punched at the bottom of the wall of the tank. Water begins to drainout. Mass of the empty tank may be neglected. (i) Prove that the tank will move with a constant acceleration till it is emptied. Find this acceleration. (iii) Find the find speed acquired by the tank when it is completely empty.

A leak can empty a completely filled tank in 15 hours. If the tank is full of water and a tap is opened which fills 4 litres of water per minute in the tank. The leak now takes 30 hours to empty the tank, then find the capacity of tank.