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Standard VI
Mathematics
Word Problems
Question
The ratio of radii of two cylinders is
1
:
2
and heights are in the ratio
2
:
3
.
The ratio of their volumes is
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Solution
Verified by Toppr
Let
V
1
be the volume of 1st cylinder and
V
2
be the volume of 2nd cylinder
V
1
=
π
r
2
1
h
1
V
2
=
π
r
2
2
h
2
⇒
V
1
V
2
=
(
r
1
r
2
)
2
h
1
h
2
=
(
1
2
)
2
×
2
3
=
1
4
×
2
3
=
1
6
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