1.

A cone of height 36 cm and base radius 9 cm is reshaped into a sphere. Find the radius of the sphere formed.

Answer»

Volume of the cone = 1/3πr= 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)× 36 = 4/3πr3

= (9)2×9×4 = 4×r3

= r= (9)3 

⟹ radius of sphere formed = 9



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