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UPSC 2015 CDS I Math Paper
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© examsnet.com
Question : 59
Total: 100
If the radius of a sphere is increased by 10%, then the volume will be increased by
[2015 CDS-I]
33.1%
30%
50%
10%
Validate
Solution:
Let the radius of the sphere be r units.
Therefore, new radius of the sphere
=
r
+
10
100
×
r
=
1.1
r
Percentage increase in the volume of sphere
=
Increase in volume of sphere
Initial volume of sphere
×
100
=
(
4
3
π
(
1.1
r
)
3
−
4
3
π
r
3
4
3
π
r
3
)
×
100
=
(
1.331
−
1
1
)
×
100
=
33.1
%
© examsnet.com
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