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Standard IX
Mathematics
Curved surface area of a Right Circular cone
Question
Find the total surface area of a cone whose radius is
12
m and the slant height is
23
m.
420
π
mm
2
420
π
cm
2
420
π
m
2
420
π
m
A
420
π
mm
2
B
420
π
cm
2
C
420
π
m
2
D
420
π
m
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Solution
Verified by Toppr
Total surface area of cone is
S
=
π
r
(
r
+
l
)
.
Here, radius is
r
=
12
m and slant height is
l
=
23
m.
Thus,
S
=
π
r
(
r
+
l
)
=
π
×
12
(
12
+
23
)
=
12
π
×
35
=
420
π
m
2
Hence, the total surface area
of the cone is
420
π
m
2
.
Therefore, option
C
is correct.
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