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 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)

An iron pillar consists of a cylindrical portion of 2.8 m. height and 20 cm. in diameter and a cone of 42 cm. height surmounting it. Find the weight of the pillar if 1 cm^(3) of iron weighs 7.5 g.

A closely wound solenoid 80 cm long has 5 layers of windings of 400 terns each. The diameter of the solenoid is 1.8 cm. It the current carried is 8.0 A, estimate the magnitude of B inside the solenoid near its centre.

The diameter of the base of a right circular cone is 12 cm and volume 376.8cm^3 . Find the height (pi=3.14) .

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)