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Byju's Answer
Standard X
Mathematics
Volume of a Right Circular Cone
If the volume...
Question
If the volumes of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, then the ration
of their heights is
A
25 : 64
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B
5 : 4
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C
64 : 25
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D
5 : 16
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Solution
The correct option is
A
25 : 64
=
1
3
π
(
2
)
2
h
1
1
3
π
(
5
2
)
2
h
2
=
1
4
=
4
h
1
4
h
1
25
4
h
2
=
1
4
⇒
16
h
1
25
h
2
=
1
4
⇒
h
1
h
2
=
1
4
×
25
16
=
25
64
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Similar questions
Q.
If the volumes of two cones are in the ratio of 1:4 and their diameters are in the ratio of 4:5, then find the ratio of their heights.
Q.
If the volumes of two cones are in the ratio of 1 : 4 and their diameters are in the ratio of 4 : 5, the ratio of their heights is
Q.
If the volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, then the ratio of their heights, is
(a) 1 : 5
(b) 5 : 4
(c) 5 : 16
(d) 25 : 64