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Standard IX
Mathematics
Curved surface area of a Right Circular cone
Question
The radius of a right circular cone is
3
cm and its height is
4
cm. The total surface area of the cone is:
48.4
sq. cm
64.4
sq.cm
75.4
sq.cm
96.44
sq.cm
A
64.4
sq.cm
B
48.4
sq. cm
C
96.44
sq.cm
D
75.4
sq.cm
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Solution
Verified by Toppr
Given, radius
r
=
3
c
m
and height
h
=
4
c
m
Then, slant height
l
=
√
r
2
+
h
2
⇒
l
=
√
3
2
+
4
2
=
√
9
+
16
=
√
25
=
5
c
m
Total surface area of a cone
=
π
r
l
+
π
r
2
=
π
(
3
)
(
5
)
+
π
(
3
)
2
=
15
π
+
9
π
=
24
π
=
24
×
3.14
=
75.36
c
m
2
≈
75.4
c
m
2
Therefore, option
D
is correct.
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