a rectangular piece of tin of size 36cm×24cm is rolled in two ways,once along its length and once along its breadth find the ratio of volumes of two cylinders so formed
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Step-by-step explanation:
When rolled along length:
h
=
18
⇒
2
π
r
=
30
⇒
r
=
15
π
When rolled along breadth:
h
=
30
⇒
2
π
r
=
18
⇒
r
=
9
π
⇒
V
=
π
r
2
h
=
π
(
9
π
)
2
×
30
Therefore, Ratio of volumes
=
π
×
(
15
π
2
)
2
×
18
π
(
9
π
)
2
×
30
On simplifying we get,
⇒
Ratio of volumes
=
5
3
⇒
V
=
π
r
2
h
=
π
(
15
π
)
2
×
18
When rolled along breadth:
h
=
30
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