a solid sphere of radius 8 cm is melted and smaller solid spheres of diameter 4 cm are made from it. find the total surfaces areas of the resulting solid spheres
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Answer:
Step-by-step explanation:
Given,
Let n be the small spheres formed.
THE Volume of large sphere = volume of n small spheres
3
4
π(
2
18
)
3
=n×
3
4
π(
2
3
)
3n=6
3
=216 spheres
Surface area of large sphere,
=4πr
2
=4π(
2
18
)
2
=324πcm
2
THE Surface area of small 216 spheres,
=216×4πr
2
=216×4π(
2
3
)
2
=1944πcm
2
percent increase
=
324π
1944π−324π
=500%
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