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UPSC CDS 2 2021 Math Paper
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© examsnet.com
Question : 15
Total: 100
A solid rod consists of a cylinder of height
20
c
m
and radius
7
c
m
. It is surmounted by another solid cylinder of height
10
c
m
and radius
3.5
c
m
. If 1 cubic metre of rod weights
10000
k
g
, what is the mass of the rod? (Take
π
=
22
7
)
34.65
k
g
31.56
k
g
3.465
k
g
3.156
k
g
Validate
Solution:
👈: Video Solution
Given, Dimensions of cylinder 1 :
Radius
(
r
1
)
=
7
c
m
Height
(
h
1
)
=
20
c
m
Dimensions of cylinder 2 :
Radius
(
r
2
)
=
3.5
c
m
Height
(
h
2
)
=
10
c
m
Volume of the solid rod = Volume of cylinder
1
+
Volume of cylinder 2 .
=
π
r
1
2
h
1
+
π
r
2
2
h
2
=
22
7
×
(
7
×
7
×
20
+
3.5
×
3.5
×
10
)
=
22
7
(
7
×
140
+
3.5
×
35
)
=
22
(
140
+
3.5
×
5
)
=
22
(
140
+
17.5
)
=
22
(
157.5
)
=
3465
c
m
3
=
3465
100
×
100
×
100
m
3
∴
Mass of rod
=
3465
100
×
100
×
100
×
10000
k
g
=
34.65
k
g
Hence, mass of the rod is
34.65
k
g
.
© examsnet.com
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