Water flows a the rate of 10 metres per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the surface is 40 cm and depth `24cm^2`.

Water is flowing at the rate of 3km/h through a circular pipe of 20 cm internal diameter into a circular pipe of into a circular cisten of diameter 10m and depth 2 m. in how much time, will the cistern be filled?

Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank. The water is collected in a cylindrical vessel, radius of whose base is 60 cm. find the rise in the level of water in 30 minutes?

A cylindrical pillar is 50 cm in diameter and 3.5 m high. Find the cost of white washing its curved surface at the rate of Rs 40 per m^2 .

In a hot water heating system, there is a cylindrical piping of length 28 m and diameter 5 cm. Find the total radiating surface in the system.

The rain water from a roof 22 m xx 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full, find the rainfall in cm

A path 2 m wide surrounds a circular pond of diameter 40 m. How many cubic metres of gravel are required to gravel the path to a depth of 20 cm ?

A cylinderical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of white washing the curved surface of the pillar at the rate of Rs 12.50 per m^2 .

A radioactive source, in the form of a metallic sphere of radius 10^(-2)m emits beta -particles at the rate of 5xx10^(10) particles per second. The source is electrically insulated. How long will it take for its potential to be raised by 2V, assuming that 40% of the emitted beta -particles escape the source.