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Standard IX
Mathematics
Curved surface area of a Right Circular cone
Question
The total surface area of cone, if its slant height is
9
m
and the radius of its base is
12
m
is:
525
c
m
2
792
c
m
2
684
c
m
2
412
c
m
2
A
684
c
m
2
B
412
c
m
2
C
792
c
m
2
D
525
c
m
2
Open in App
Solution
Verified by Toppr
We know that the total surface area
S
of a right circular cylinder of radius
r
and slant height
l
is given by:
S
=
π
r
2
+
π
r
l
=
π
r
(
r
+
l
)
.
Here,
r
=
12
m
and
l
=
9
m
.
∴
S
=
{
22
7
×
12
×
(
12
+
9
)
}
m
2
=
792
m
2
.
Therefore, option
(
B
)
is correct.
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