A one side open cylindrical drum has inner radius 28 cm and height 2.1 m. How much water you can store in the drum? Express in litres. (1 litre = 1000 c.c)

A one side open cylinderical drum has inner radius 28 cm, and height 2.1 m .How much water you can store in the drum . Express in litres .( 1 litre= 1000cc. )

A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere is earthed and the inner sphere is given a charge of 2.5muC . The space between the concentric spheres is fillled with a liquid of dielectric constant 32. (a) Determine the capacitance of the capacitor. (b) What is the potential of the inner sphere ? (c) Compare the capacitance of this capacitor with that of an isolated sphere of radius 12 cm. Explain why the latter is much smaller.

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 cylindrical tank has a hole of area 2 cm^(2) at its bottom, if water is poured into the tank from a tube above it at the rate of 100 cm^(3) s^(-1) , then the maximum height upto (Acceleration due to gravity, g = 10 ms^(-2) )

A spherical capacitor has outer sphere of radius 5 cm and inner sphere of radius 2 cm. When the inner sphere is earthed, its capacity is C_(1) and when the outer sphere is earthed its capacity is C_(2) . Then (C_(1))/(C_(2)) is

A closed cylindrical tank of height 1.4 m. and radius of the base is 56 cm. is made up of a thick metal sheet. How much metal sheet is required (Express in square meters)

Parvali house has a water tank in the shape of a cylinder on the roof. 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 times 1.44 m times 9.5 cm. The water tank has radius 60 cm. and height 95 cm. Find the height of the water left in the sump after the water tank has been completely filled with water from the sump which had been full of water. Compare the capacity of the tank with that of the sump. ( pi =3.14)