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SSC CGL Tier 2 Exam 25 Oct 2015 Paper 1
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© examsnet.com
Question : 62
Total: 100
If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to
1
4
th of the radius of the hemisphere
radius of the hemisphere
1
2
of the radius of the hemisphere
1
6
th of the radius of the
Validate
Solution:
(3) Volume of hemisphere
=
2
3
π
R
3
cu. units
Volume of newphere
=
4
3
π
r
3
cu. units
According to the question,
2
3
π
R
3
=
4
×
4
3
π
r
3
⇒
R
3
=
8
r
3
⇒
R
=
2
r
units
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