A juice seller was serving his customers using glasses as shown in the adjacent figure. The inner diameter of the cylinderical glass was 5 cm, but the bottom of the glass had a hemi-spherical raised portion which reduced the capacity of the glass. If the height of the glass was 10 cm, find the apparent capacity of the glass and its actual capacity.
`(use pi = 3.14)`

A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in the adjacent figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical position has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion is to be painted yellow, find the area of the rocket painted with each of these colour. (Take pi = 3.14)

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 find its volume to be 345 cm^3 . Check whether she is correct, taking the above as inside measurements and pi = 3.14

A half spherical glass lens with refractive index 1.5 is placed in a liquid with refractive index of 1.3 (see following figure). The radius of the half spherical lens is 10 cm. A parallel beam of light travelling in the liquid is refreacted by the glass lens. Then the absolute value of the position of the image from the centre of the glass lens will be