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Byju's Answer
Standard IX
Mathematics
Volume of a sphere
If surface ar...
Question
If surface areas of two spheres are in the ratio of
4
:
9
,then find the ratio of their volumes.
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Solution
Surface area of sphere is directly proportional to square of radius, hence ratio of radii of two spheres is
2
:
3
.
Volume is proportional to cube of radius.
So, ratio of volumes
=
(
2
3
)
3
=
8
:
27
.
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