Math, asked by Anonymous, 5 months ago

A sphere of radius 12cm was melted to form 27 smaller spheres of equal radii. What 1M is the ratio of surface area of the big sphere to that of the sum of the surface areas of the smaller spheres ?


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Answers

Answered by Anonymous
7

Answer:

We know that

Volume of sphere =4/3πr

3

Given D=12cm

∴r=6cm

Volume of big sphere =

3

4

×x×216

=288x

According to Question

288x=

3

4

x(27x

3

+64x

3

+125x

3

)

4

288×3

=216x

3

x=1cm

∴ Radius of smallest sphere =3cm

Step-by-step explanation:

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