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SSC CGL Tier 2 Exam 12 Apr 2015 Paper
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© examsnet.com
Question : 9
Total: 100
If the height of a cylinder is 4 times its circumference, the volume of the cylinder in terms of its circumference c, is
2
c
3
π
4
π
c
3
c
3
π
2
π
c
3
Validate
Solution:
(3) If the radius of base of cylinder be r units, then,
Height = 4 × 2πr = 8πr units
∴ 2πr = c
∴
r
=
c
2
π
and
h
=
4
c
∴ Volume of cylinder
=
π
r
2
h
=
π
c
2
4
π
2
×
4
c
=
c
3
π
cubic units
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