Question
If the radius of a cylinder is tripled and the height is
halved, then what is the ratio between the new volume and the previous volume?Solution
Old volume = πr2h New volume = π × R2 × H = π × (3r)2 × (h/2) Ratio of new volume to previous volume = π × (3r)2 × (h/2) ∶ πr2h Required ratio = (9/2) × πr2h ∶ πr2h = (9/2) ∶ 1 ∴ Required ratio = 9 ∶ 2
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