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UPSC CDS 2 2019 Math Paper
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© examsnet.com
Question : 9
Total: 100
Two cylinders of equal volume have their heights in the ratio 2 : 3. What is the ratio of their radii ?
[2019 CDS-II]
√
3
:
1
√
3
:
√
2
2
:
√
3
√
3
:
2
Validate
Solution:
If the height and radius of two cylinder are
h
1
,
r
1
and
h
2
,
r
2
respectively.
Then, their volumes are
V
1
=
π
r
1
2
h
1
and
V
2
=
π
r
2
2
h
2
respectively. But it is given that
V
1
=
V
2
π
r
1
2
h
1
=
π
r
2
2
h
2
r
1
r
2
=
√
h
2
h
1
r
1
r
2
=
√
3
2
=
√
3
√
2
[
h
1
h
2
=
2
3
]
© examsnet.com
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