A manufacturer plans to construct a cylindrical can to hold one cu m of liquid. If the cost of constructing the top and bottom of the can is twice the cost of constructing the sides, what are the dimensions of the most economical can?

The volume of a closed square based rectangular box is 1000 cubic metre. The cost of constructing the base is 15 paise per square metre and the cost of constructing the top is 25 paise per square metre. The cost of constructing its sides is 20 paise per square metre and the cost of constructing the box is Rs. 3.Find the dimensions of box for minimum cost of construction.

A triangle can be constructed by taking its sides as:

A cylindrical can to be made to hold 1 litres of oil. Find the dimensions which will minimize the cost of the metal to make the can.

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find (i) the area covered by the roads. (ii) the cost of constructing the roads at the rate of Rs 110 per m^2

How many hexagons can be constructed by joining vertices of a quindecagon if none of the sides of the hexagon are also the sides of the quindecagon

A path 1m wide is built inside a square park of side 30m along its sides.Find the area of the path.Calculate the cost of constructing the path at the rate of Rs 70 per m^(2)

It is desired to construct a cylindrical vessel of capacity 500cum, open at the top.What should be the dimensions of the vessel so that the material used is minimum,given that the thickness of the material used is 2cm?

A tank with rectangular base and rectangular sides,open at the top is to be constructed so that its depth is 2m and volume is 8m3. If building of tank costs Rs 70 per square metre for the base and Rs 45 per square metre for sides,what is the cost of least expensive tank?

A rectangular lawn 70m by 50m has two roads,each 5m wide,running through its middle,one parallel to its length and other parallel to its breadth.Find the cost of constructing the roads at Rs 120 per m^(2)

A rectangular lawn 70 m by 50 m has two roads, each 5 m wide, running through its middle, one parallel to its length and the other parallel to its breadth. Find the cost of constructing the roads at Rs.120 per m^(2) .