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SSC CGL Tier 2 Exam 1 Dec 2016 Paper 1
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© examsnet.com
Question : 62
Total: 100
A solid cylinder has the total surface area 231 square cm. If its curved surface area is
2
3
of the total surface area, then the volume of the cylinder is
154 cu. cm.
308 cu. cm.
269.5 cu. cm
370 cu. cm
Validate
Solution:
(3) Let the radius of cylinder be r cm.
Height = h cm.
According to the question,
2
π
r
h
+
2
π
r
2
=
231
Again,
2
π
r
h
=
2
3
×
231
=
154
∴
2
π
r
2
=
231
−
154
⇒
2
×
22
7
r
2
=
77
⇒
r
2
=
77
×
7
22
×
2
=
49
2
×
2
∴
r
=
7
2
c
m
.
∴
2
π
r
h
=
154
⇒
2
×
22
7
×
7
2
×
h
=
154
⇒
22
h
=
154
⇒
h
=
154
22
=
7
c
m
∴ Volume of cylinder
=
π
r
2
h
=
(
22
7
×
7
2
×
7
2
×
7
)
c
u
.
c
m
= 269.5 cu. cm.
© examsnet.com
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