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UPSC CDS Math Volume and Surface Area Questions
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© examsnet.com
Question : 11
Total: 104
A right circular cone has height 8 cm. the radius of its base is 6 cm, then what is its total surface area ?
[2019 CDS-II]
96
π
c
m
2
69
π
c
m
2
54
π
c
m
2
48
π
c
m
2
Validate
Solution:
We have,
Radius of base
(
r
)
=
6
c
m
and height of circular cone
(
h
)
=
8
c
m
We know that slant height
(
l
)
=
√
h
2
+
r
2
⇒
l
=
√
8
2
+
6
2
⇒
l
=
10
c
m
∵
total surface area of the cone
=
π
r
l
+
π
r
2
=
π
×
6
×
10
+
π
×
6
2
=
96
π
c
m
2
© examsnet.com
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