A juice seller was serving his customers using glasses as shown in Fig, 13.13. The inner diameter of the cylindrical glass was 5 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of a glass was 10 cm, find the apparent capacity of the glass and its actual capacity, (Use `pi` = 3.14.)

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

A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. if the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to seved 1600 students.

A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter, the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm^3 . Check whether she is correct, taking the above as the inside measurements, and pi = 3.14.

Fig.2.49 shows a solid glass sphere of radius 5 cm that has a small air bubble O trapped at a distance 2 cm from the centre C.Th refractive index of the material of glass is 1.5.Find the apparent position of the bubble where it will appear ,when seen throught the surface from an ougtside point E. .

An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet (see Fig. 13.23). The diameters of die two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, Find the volume of water the bucket can hold. (Take pi=22/7 ).

Selvi's house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions 1.57 m x 1.44 m x 95cm. The overhead tank has its radius 60 cm and height 95 cm. Find the height of the water left in the sump after the overhead tank has been completely filled with water front the sump which had been full. Compare the capacity of the tank with that of the sump. (Use pi = 3.14)

A man with normal near point (25 cm) reads a book with small print using a magnifying glass: a thin convex lens of focal length 5 cm- What is the closest and the farthest distance at which he should keep the lens from the page so that he can read the book when viewing through the magnifying glass?

A rectangular glass block of thickness 10 cm and refractive index 1.5 is placed over a small coin.A beaker is filled with water of refractive index 4//3 to a height of 10 cm and is placed over a small block. Find the apparent position of jthe object,when it is viewed at normal incidence. .