Question
The ratio of the radii of the bases of a cylinder and a
cone is 6:7, while the ratio of their heights is 7:9. What is the ratio of the volume of the cylinder to the volume of the cone?Solution
ATQ,
Let r and R be the radii of the bases of the cylinder and the cone, respectively. r/R =6/7 Let h and H be the heights of the cylinder and the cone, respectively. h/H =7/9 The formula for volume ratio: Substituting values:
Hence, the ratio of the volumes is 4:3.
Â
The value of √(56+√(56 +√(56+ √(56+√56+ ................ )) )) is
What is the largest three-digit number that, when divided by both 13 and 17, leaves a remainder of 12 in each case?
The sum of three consecutive even numbers is 84. Find the middle number.
A man spends 1/7 of his income on food, 3/5 of his income house rent and 1/4 of his income on clothes. If he still has Rs. 200 left with him, his income...
Consider two natural numbers, 'a' and 'b', which are in the ratio of 17:20. If we increase 'a' by 18 and decrease 'b' by 20, the new ratio of 'a' to 'b'...
Find a positive number which when increased by 26 is equal to 120 times the reciprocal of the number?
- 40% of 'P' is (2/3) of 'Q'. Determine the ratio P to Q, assuming both are co-prime.