A cylinder vessel of diameter 14cm and height 42cm is fixed symmetrically inside a similar vessel of diameter 16cm and height 42cm. The total space between the two vessels is filled with cork dust for heat insulation purposes. How many cubic centimetres of cork dust will be required?

A metallic cylinder of diameter 16 cm and height 9 cm is melted and recast in to sphere of diameter 6cm .How many such spheres can be formed?

A cylindrical vessel having diameter equal to its height is full of water which is poured into two identical cylindrical vessels with diameter 42 cm and height 21 cm which are filled completely. Find the diameter of the cylindrical vessel.

A cylindrical vessel open at the top has diameter 20cm and height 14cm. Find the cost of tin-plating it on the inside at the rate of 50 paise per hundred square centimetre.

A cylindrical water tank of diameter 2.8 m and height 4.2 m is being fed by a pipe of diameter 7 cm through which water flows at the rate of 4 m s^(-1). Calculate, in minutes, the time it takes to fill the tank

A cylindrical vessel of height 24 cm and diamater 40 cm is full of water. Find the exact number of small cylindrical bottles, each of height 10 cm and diameter 8 cm, which can be filled with this water.

A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of water (i) displaced out of the cylinder (ii) left in the cylinder. (Take pi=22//7 )

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 vessel is in the form of hemispherical bowl mounted by a hollow cylinder. If the height of cylinder is 6cm and radius is 7 cm .Find the total height of the vessel.

The rain water from a roof of 22\ mxx20\ m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full, find the rain fall in cm.

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.