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Q.

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is

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a

2cm

b

3cm

c

4cm

d

6cm

answer is B.

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Detailed Solution

Question Image

Volume of Sphere=43πr3=43π(3)3 

Volume of Cone=13πr2h=13π×62×h Given,

Volume of Sphere = Volume of Cone

43π(3)3=13π×62×h 

h=4×3362=3cm .

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