The barrel of a fountain-pen cylindrical in shape, is 7 cm long and 5 cm in diameter. A full barrel of ink in the pen will be used for writing 330 words on an average. How many words can be written using a bottle of ink containing one fifth of a litre ?

A hemispherical bowl of internal radius 15 cm contains a liquid. The liquid is to be filled into cylindrical bottles of diameter 5 cm and height 6 cm How many bottles are necessary to empty the bowl ?

A solid toy is in the form of a right circular cylinder with hemispherical shape at one end and a cone at the other end. Their common diameter is 4.2 cm and the height of the cylindrical and conical portions are 12 cm and 7 cm respectively. Find the volume of the solid toy. (Use pi= (22)/(7) )

(i) Find the number of strings of length , which can be firmed using the letters of the word BIRD , without repetition of the letters. (ii) How many strings of length 5 cm be formed out of the letters of the word "PRIME" taking all the letters at a time without repetition.