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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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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