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Standard IX
Mathematics
Curved surface area of a Right Circular cone
Question
The radius of a cone is 3 cm and vertical height is 4 cm. Find the area of the curved surface.
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Solution
Verified by Toppr
r
=
3
c
m
and
h
=
4
c
m
Let
l
be the slant height of the cone. Then,
l
2
=
r
2
+
h
2
l
2
=
3
2
+
4
2
l
=
5
c
m
Therefore,
Area of the curved surface =
π
r
l
=
22
7
×
3
×
5
=
47.14
c
m
2
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