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12 solids, spheres of the same size are made by melting a solid metallic cone of base radius 1cm and height 48cm. Find the radius of each sphere.

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1cm

5cm

7cm

30cm

answer is A.

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Detailed Solution

Solid metallic cone of base radius 1cm and height of 48cm
Volume of cone =

\frac{1}{3} π r^{2} h = \frac{1}{3} \times π 1^{2} \times 48

16 π

cm3
Radius of the sphere = R cm
Volume of sphere

Volume of 12 spheres

Volume of 12 spheres = Volume of cone
Question Image

Hence, Option (1) is the correct answer.

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