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Three metallic spheres with radii 3 cm, ...

Three metallic spheres with radii 3 cm, 4 cm and 5 cm are melted and recast into a single sphere. Then, the radius of the new sphere formed is ......... cm.

A

4

B

12

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
6
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Knowledge Check

  • Two metallic spheres of radii 9 cm and 10 cm are melted and recast to make two new spheres. If the radius of one of the new spheres is 12 cm, the radius of the other new sphere is ......... cm.

    A
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  • Two solid right circular cones have the same height and radii r_(1) cm and r_(2) cm. They are melted and recast into a right circular cylinder of the same height. Then, the radius of the cylinder is ......... cm.

    A
    `(r_(1)^(2)+r_(2)^(2))/(3)`
    B
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    C
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    D
    `sqrt(r_(1)r_(2))`

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