The rain water from a roof of `22 m xx 20 m` drains into a cylindrical vessel having diameter of base 2m and height 3.5 m. If the vessel is first full, find the rain fall in cm.

Find (i) The total surface area of a closed cylindrical petrol storage tank whose diameter 4.2 m. and height 4.5 m.

A mansion has 12 right cylindrical pillars each having radius 50 cm and height 3.5m. Find the cost to painting the surface of the pillares at Rs 20 per square metre.

A cylindrical vessel of diameter 12 cm contains 800n cm 3 of water. A cylindrical glass piece of diameter 8.0 cm and height 8.0 cm is placed in the vessel. If the bottom of the vessel under the glass piece is seen by the paraxial rays (see figure 18-E6), locate its image. The index of refraction of glass is 1.50 and that of water is 1.33.

A tent is in the shape of a right circular cylinder surmounted by a cone. The total height and the diameter of the base are 13.5m and 28m. If the height of th cylindrical portion is 3m, Find the total surface area of the tent.

A tent is made in the form of a conic frustum surmounted by a cone . The diameter of the base and the top of the frustum are 20 m and 6m respectively and the height is 24 m . If the height of the tent is 28 m , find the quantity of canvas required ( Give your answer in pi ) .

A tent is in the form of a cylinder surmounted by a cone having its diameter of the base equal to 24 m. The height of cylinder is 11 m and the vertex of the cone is 5m above the cylinder. Find the cost of making the tent, if the rate of canvas is 10 per m^(2)

The volume of a cylinder whose height is 5m and whose base area is 51.5 m^(2) is: