The ratio of heights of 2 cones is 3 : 4 and the ratio of radius of 2 cones is 5 : 6. Find the ratio of volumes of 2 cones.
The ratio of heights of 2 cones is 3 : 4 and the ratio of radius of 2 cones is 5 : 6. Find the ratio of volumes of 2 cones.
A75/144
B75/72
C72/75
D144/75
All DiscussionsClick here to write answer
correct answer is: 75/144
Explanation: The volume of a cone is proportional to the square of the radius and the height. Given the ratios of heights (3:4) and radii (5:6), the volume ratio is calculated as (5²/6²) * (3/4) = (25/36)*(3/4) = 75/144.
- OPTION a (75/144): Correct, as shown by the calculation.
- OPTION b (75/72): Incorrect, as it doesn't match the calculated ratio.
- OPTION c (72/75): Incorrect, inverse of the correct ratio.
- OPTION d (144/75): Incorrect, inverse of the correct ratio.
Post your answers here:
Rich Text Editor, message-ans
Editor toolbars
Press ALT 0 for help
◢Elements path Post
Related Posts:
The ratio of length of 2 trains is 5 : 6 and the ratio of their speeds is 2: 3. Find the ratio of time taken by them to cross a pole.- A series is given with one missing term. Select the correct alternative from the given ones that will complete the series. PON, RQP, TSR, VUT, ?
- Which of the following alcohol is known as a wood spirit?
- The famous Komgata Maru incident took place in which of the following years?
- When was Swachh Bharat Mission launched in India?
