two cylindrical jars have their diameters in the ratio 3:1 but height 1:3 . What is thr ratio of their volume?
Answers
Answer:
Let V
1
and V
2
be the volume of the two cylinders with radius r
1
and height h
1
, and radius r
2
and height h
2
.
2r
2
2r
1
=
1
3
and
h
2
h
1
=
3
1
[ Given ]
So,
V
1
=πr
1
2
h
1
----- ( 1 )
Now,
V
2
=πr
2
2
h
2
---- ( 2 )
From equation ( 1 ) and ( 2 ), we get
V
2
V
1
=(
r
2
r
1
)
2
(
h
2
h
1
)
⇒
V
2
V
1
=(
2r
2
2r
1
)
2
(
h
2
h
1
)
⇒
V
2
V
1
=(3)
2
(
3
1
)
⇒
V
2
V
1
=
1
3
Step-by-step explanation:
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