A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label.

From a solid cylinder of height 2.4 cm and diameter 1.4 cm a cone of the same height and same diameter is cut out.Find the total surface area of the remaining portion of the cylinder.

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm a conical cavity of the same height and same diameter is hollowed out.Find the total surface area of the remaining solid to the nearest cm^2 .

A cylindrical container is filled with ice-cream whose radius is 6 cm and height 15 cm. The whole ice-cream is distributed among ten children equally in form of cones having hemispherical tops. If the height of the conical portion is four times the radius of the base, find the radius of the base of the cone.

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.

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).

Diamter of cylinder A is 7cm, and the height is 14cm. Diameter of cylinder B is 14 cm and height is 7cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?

A coin is placed at the bottom of a beaker containing water (refractive index =4/3) to a depth of 12cm. By what height the coin appears to be raised when seen from vertically above?

A bucket made up of a metal sheet is in the form of a frustum of a cone. Its depth is 24 cm and the diameters of the top and bottom are 30 cm and 10 cm respectively. Find the cost of milk which can completely fill the bucket at the rate of ₹ 20 per litre and the cost of metal used, if its cost ₹ 10 per 100 cm^2 (pi = 3.14) .

In the figure, from the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to its base. Find the total surface area of the remaining solid (pi = 22/7, sqrt5=2.236) .

A bucket is in the form of a frustum of a cone with capacity of 12,308.8 cm^3 of water. The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket and the area of the metal sheet used in its making (pi = 3.14) .