Two cones have their heights in the ratio 4 : 3 and the radii of their bases in the ratio 1 : 2. Find the ratio of their volumes.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 1 : 3.
Volume ratio = (r1)2 h1:(r2)2 h2
Radii ratio = 1 : 2
⇒ (r1)2: (r2)2 = 1 : 4
Volume ratio =1 × 4 : 4 × 3 = 4 : 12 = 1 : 3