Question
The diameter of the base of a cylindrical drum is 14 cm
and its height is 12 cm. The drum is full of water and the water from the drum is transferred to βnβ cuboidal tanks having dimension 8 cm Γ 11 cm Γ 3 cm, each. Find the value of βnβ.Solution
Radius of the base of the cylindrical drum = 14/2 = 7 cm According to the question, Volume of cylindrical drum = volume of βnβ cuboidal tanks Therefore, (22/7) Γ 7 Γ 7 Γ 12 = n Γ 8 Γ 11 Γ 3 Or, n = 1848/264 = 7
In how many ways can a squad of 10 people be selected from 9 trainees and 5 supervisors such that the squad has at least 8 trainees?
From 6 officers and 8 Jawans, in how many ways can 5 be chosen to include exactly 3 officers?
A group consists of 10 boys and 10 girls. In how many ways can 6 boys and 4 girls be selected from the group?
Number of 4-digit numbers that can be formed using digits 1β9 without repetition and are divisible by 5.
In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
In how many different ways can the letters of the word “MONDAY” be arranged in such a way that the vowels always come together?
Among a set of 4 black balls and 3 white balls, how many selections of 3 balls can be made such that at least 2 of them are black balls?
Five articles out of which 3 are cups and rest are glasses have to be arranged on a shelf. Find the number of ways of arrangement in which all three cup...
A club has 6 men and 5 women. How many committees of 5 have at least 2 women?
How many 4-digit numbers can be formed using digits 1β9 if repetition is not allowed and the number is even?