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UPSC 2014 CDS II Math Paper
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© examsnet.com
Question : 83
Total: 100
A cylinder circumscribes a sphere. What is the ratio of volume of the sphere to that of the cylinder?
[2014 CDS-II]
2 :3
1 :2
3 : 4
3 :2
Validate
Solution:
Let r be the radius of the sphere
Radius of the cylinder = r
Height of the cylinder = 2r
∴
Volume of the sphere
Volume of the cylinder
=
4
3
π
r
3
π
r
2
×
2
r
=
2
3
Thus, the ratio of volume of thesphere to that of the cylinder is 2 : 3.
© examsnet.com
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