The heights of two cones are in the ratio of 5 : 3 and their radii are in the ratio 6 : 5. Find the ratio of their volumes.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12 : 5.
Given,
Ratio of radius, r1 : r2 = 6 : 5
Ratio of height, h1 : h2 = 5 : 3
We know,
Volume of cone = (1/3)πr2h
According to the question,
Volume of cone 1 : volume of cone 2
⇒ (1/3)πr12h1 : (1/3)πr22h2
⇒ 62 × 5 : 52 × 3
⇒ 12 : 5