If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is: |
1 : 2 2 : 1 1 : 4 4 : 1 |
1 : 4 |
We know that, Volume of cylinder = πr2h Ratio of radius = r1 : r2 = 3 : 4 Ratio of heights = h1 : h2 = 4 : 9 Now the ratio of the volumes = π(r1)2 h1 : π(r2)2 h2 = 32 × 4 : 42 × 9 = 1 : 4 |