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Mensuration Practice Test 3
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© examsnet.com
Question : 5
Total: 40
The volume of two cones is in the ratio of 4 : 3 and their diameters are in the ratio of 2 : 1. Find the ratio of their heights.
2 : 3
3 : 1
3 : 4
1 : 3
Validate
Solution:
Let the radius of the 1st cone = 2r
Radius of the 2nd cone = r
Height of the 1st cone and the 2nd cone = h and H
Volume
of
them
1
st
cone
Volume
of
the
2
nd
cone
=
1
3
π
(
2
r
)
2
h
1
3
π
(
r
3
)
H
4
3
=
4
r
2
h
r
2
H
h
H
=
1
3
So, the required ratio of heights = 1 : 3
© examsnet.com
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