Start learning 50% faster. Sign in now
As a metallic sphere is melted and recast into the shape of a cylinder, their volume must be the same. Volume of the sphere = Volume of the cylinder Let us find the volume of the sphere and cylinder by using formulae; Volume of the sphere = 4/3πr3 where r is the radius of the sphere Volume of the cylinder = πr2h where r and h are radius and height of the cylinder respectively Radius of the sphere, r₁ = 4.2 cm Radius of the cylinder, r₂ = 6 cm Let the height of the cylinder be h. Volume of sphere = Volume of cylinder 4/3πr₁3 = πr₂2h (4/3)r₁3 = r₂2h h = 4r₁3 / 3r₂2 = (4 × 4.2 cm × 4.2 cm × 4.2 cm) / (3 × 6 cm × 6 cm) = 2.744 cm Hence, the height of the cylinder so formed will be 2.744 cm.
A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match.
Ram scored an average of 5 goals per match in his first four games. However, he didn't score any goals in the following three matches. How many goals do...
5 positive numbers are written on a piece of paper. Sum of first 3 numbers is 70 and ratio of the 4th and the 5th number is 2:3. If difference between t...
The mean of a set of 15 numbers is 40. If the mean of the initial 5 numbers in this set is represented by the expression (12x + 10), and the mean of the...
The average salary of 36 employees ( Teachers+principals) in a School is Rs.10,375. A Principal in the School receives a salary that is 125% higher than...
A gift box has 10 bangles. The average weight of the first 4 bangles is 56gms and the average weight of the remaining 6 bangles is 57 gms. Tell the aver...
A number is such that when it is multiplied by 5, it gives another number which is as much above from 210 as the original number (itself) is below 210. ...
The average mark obtained by 140 candidates in a certain examination is 50. If the average marks of passed candidates are 55 and that of the failed cand...
The average marks scored by 20 boys and 45 girls are 88 and 94 respectively. Find the average marks scored by all the students together. (Answer should ...