Question

64 solid metallic spheres , each sphere of radius 0.15cm are melted to form a single bigger sphere . find the radius of the bigger sphere.

Answer 1

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Answer 2

Answer:0.6 cm

Step-by-step explanation:

Since they're being melted we need to find the volume.

Voleme of one tiny sphere

=4/3pie r^3

=4/3×22/7×0.15×0.15×0.15

=0.099/7

=0.014

Volume of 64 such spheres or One big sphere

=0.014×64

=0.896

Radius of sphere

0.896=4/3 pie r^3

0.896=4/3×22/7×r^3

0.896×3/4×7/22 = r^3

4.704/22= r^3

0.216(approx.) =r^3

0.6=r^3