The ratio of the base radii of two cylinders is 5 : 6 and the ratio of their corresponding heights is 49 : 36. Find the ratio of their volumes.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1225:1290.
Volume of a cylinder ∝ (radius² × height)
Given: Radius ratio = 5 : 6 ⇒ r₁² : r₂² = 25 : 36
Height ratio = 49 : 36
So, Volume ratio = 25 × 49 : 36 × 36
= 1225 : 1296