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UPSC CDS Math Volume and Surface Area Questions
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© examsnet.com
Question : 98
Total: 104
If 64 identical small spheres are made out of a big sphere of diameter 8 cm, what is the surface area of each small sphere ?
[2014 CDS-I]
π
c
m
2
2
π
c
m
2
4
π
c
m
2
8
π
c
m
2
Validate
Solution:
Let the radius of each small sphere be r cm.
Volume of each small sphere
=
Volume of big sphere
64
∴
4
3
π
r
3
=
1
64
×
4
3
π
(
8
3
)
3
⇒
r
=
1
cm
Surface area of each small sphere
=
4
π
r
2
=
4
π
(
1
cm
)
2
=
4
π
cm
2
© examsnet.com
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