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A cone of height 36 cm and base radius 9 cm is reshaped into a sphere. Find the radius of the sphere formed. |
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Answer» Volume of the cone = 1/3πr3 = 1/3×(9)2×36 Volume of a Sphere = 4/3πr3 Volume of the old solid = Volume of the new solid formed 1/3π×(9)2 × 36 = 4/3πr3 = (9)2×9×4 = 4×r3 = r3 = (9)3 ⟹ radius of sphere formed = 9 |
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