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The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes. |
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Answer» We have, Ratio of radii of two cylinder = 2:3 Radius of cylinder 1 = r1 Radius of cylinder 2 = r2 r1/r2 = 2/3 Ratio of their heights = 5:3 Height of cylinder 1 = h1 Height of cylinder 2 = h2 h1/h2 = 5/3 Volume of cylinder 1 = v1 Volume of cylinder 2 = v2 v1 / v2 = πr12h1 / πr22h2 = 22 × 5 / 32 × 3 = 4×5 / 9×3 = 20/27 ∴ Ratio of volumes of two cylinder is 20:27 |
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