2019 · Q49
Two cylinders of equal volume have their heights in the ratio 2:3. What is the ratio of their radii?
Elementary MathematicsMensuration
- A√3:1
- B√3:√2
- C2:√3
- D√3:2
Explanation
Equal volumes give πr₁²h₁ = πr₂²h₂, so r₁²/r₂² = h₂/h₁. With h₁:h₂ = 2:3, r₁²/r₂² = 3/2 and r₁:r₂ = √3:√2. The answer is (B).