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The volume of a cone and a sphere is equal numerically and base radius of cone is equal to radius of sphere, then find the ratio of the radius to height of the cone. |
1 : 4 2 : 1 4 : 1 1 : 2 |
1 : 4 |
ATQ, Volumes of cone and sphere are equal ⇒ \(\frac{1}{3}\) \(\pi \)r2h = \(\frac{4}{3}\) \(\pi \)r3 ⇒ h = 4r ⇒ r : h = 1 : 4 |
