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Byju's Answer
Standard IX
Mathematics
Volume of a Hemisphere
A sphere of m...
Question
A sphere of maximum volume is cut out from a solid hemisphere of radius r.The ratio of the volume of the hemisphere to that of the cut out sphere is:
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Solution
Volume of the hemisphere is
2
3
π
r
3
Volume of biggest sphere
r
=
4
3
π
(
r
2
)
3
=
1
6
π
r
3
∴
Required ratio
=
2
3
π
r
3
1
6
π
r
3
=
4
1
=
4
:
1
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