The cost of painting the total outside surface of a closed cylindrical oil tank at 60 paise per sq. dm is Rs. 237.60. The height of the tank is 6 times the radius of the base of the tank. Find its volume correct to two decimal places.

The cost of painting the total outside surface of a closed cylindrical oil tank at 50 paise per square decimetre is Rs. 198. The height of the tank is 6 times the radius of the base of the tank. Find the volume corrected to 2 decimal places.

The cost of painting the total outside surface of closed cylindrical oil tank at 50 paise per square decimetre is Rs. 198. The heights of the tank is 6 times the radius of the base of the tank. Find the volume corrected to 2 decimal places.

The cost of painting the top surface of a triangular board at 80 paise per square metre is Rs. 176 . 40 .If the height of the board meansures 24.5m , find its base .

The surface area of a sphere of radius 5 cm is five times the curved surface area of a cone of radius 4 cm. Find the height and volume (correct to two decimal places) of the cone.

It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10m dep. If the cost of painting is at the rate of Rs. 20 per m^2, find: radius of the base Capacity of the vessel?

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.

Find the minimum length in cm and correct to nearest whole number of the thin metal sheet required to make a hollow and closed cylindrical box of diameter 20 cm and height 35 cm. Given that the width of the metal sheet is 1 m. Also, find the cost of the sheet at the rate of Rs 56 per sq m. Find the area of metal sheet required, if 10% of it is wasted in cutting, overlapping, etc.

A buoy is made in the form of hemisphere surmounted by a right cone whose circular base coincides with the plane surface of hemisphere. The radius of the base of the cone is 3.5 metres and its volume is two-third of the hemisphere. Calculate the height of the cone and the surface area of the buoy, correct to two places of decimal.

A solid consisting of a right standing on a hemisphere is placed upright in a right circular cylinder full of water and touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm, the radius of the hemisphere is 60 cm and height of the cone is 120 cm, assuming that the hemisphere and the cone have common base.

The dome of a building is in the form of a hemisphere. Its radius is 63dm. Find the cost of painting it at the rate of Rs. 2 per sq.m.