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Standard IX
Mathematics
Question
The radius of base of a cone is
5
cm and height of the cone is
12
cm. Find its curved surface area.
204.3
cm
2
(approx)
102.8
cm
2
(approx)
40.8
cm
2
(approx)
52
cm
2
(approx)
A
40.8
cm
2
(approx)
B
52
cm
2
(approx)
C
204.3
cm
2
(approx)
D
102.8
cm
2
(approx)
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Solution
Verified by Toppr
The correct option is
A
204.3
cm
2
(approx)
The curved surface area of a cone
=
π
r
l
, where
r
is the radius and
l
is slant height.
Given,
r
=
5
c
m
and
h
=
12
c
m
.
We need to calculate slant height, using the formula
l
2
=
r
2
+
h
2
, where
h
is height.
So,
l
=
√
r
2
+
h
2
=
√
5
2
+
12
2
=
13
.
We know,
curved surface area of a cone
=
π
r
l
=
22
7
×
5
×
13
=
204.28
c
m
2
.
Hence, the answer is
204.28
c
m
2
≈
204.3
c
m
2
.
Therefore, option
A
is correct.
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