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A cylinder and cone have bases of equal radii and are of equal heights. Show that their volumes are in the ratio of 3 : 1. |
Answer» Given dimensions are: Cone: Radius = r Height = h Volume (V) = \(\frac{1}{3}\)πr2h Cylinder: Radius = r Height = h Volume (V) = πr2h Ratio of volumes of cylinder and cone = πr2h : \(\frac{1}{3}\)πr2h = 1 : \(\frac{1}{3}\) = 3 : 1 Hence, their volumes are in the ratio = 3 : 1. |
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