A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends(see Fig.13.10).The length of the entire capsules is 14mm and the diameter of the capsule is 5 mm.Find its surface area.

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 height of the vessel is 13 cm.Find the inner surface area of the vessel.

A solid is composed of a cylinder with hemisphere ends. If the whole length of the solid is 104 cm and the radius of each of its hemisphere end is 7 cm, find the cost of polishing its surface at the rate of ₹ 10 per dm^2

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder,as shown in Fig.13.11.If the height of the cylinder is 10 cm,and its base is of radius 3.5. find the total surface area of the article.

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 20 cm and radius of the base is 3.5 cm, find the total surface area of the article.

Rachel,an engineering student,was asked to make a model shaped like a cyclinder with two cones attached at its two ends by using a thin aluminium sheet.The diameter of the model is 3 cm and its length is 12cm.If each cone has a height of 2 cm,find the volume of air contained in the model that Rachel made.(Assume the outer and inner dimensions of the model to be nearly the same).

A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5 cm and 13 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the volume and surface area of the toy if the total height of the toy is 30 cm.

A pen stand made of wood is in the shape of a cuboid with four concial depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand ( see Fig. 13.16).

A drinking glass is in the shape of a frustum of a cone height 14 cm.The diameters of its two circular ends 4 cm and 2 cm.Find the capacity of the glass.

A copper wire,3 mm in diameter, is wound about a cylinder whose length is 1.2 m, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88g/(cm^3) .

Specific resistance of the material of a wire is 44 x 10^6 Omega cm. If the resistance of the wire is 14 Omega and its diameter 1 mm, calculate the length of the wire.