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Standard IX
Mathematics
Curved surface area of a Right Circular cone
Question
The curved surface area of a right circular cone of height
84
c
m
and diameter
70
c
m
is:
10010
c
m
2
100000
c
m
2
10020
c
m
2
11000
c
m
2
A
10020
c
m
2
B
11000
c
m
2
C
10010
c
m
2
D
100000
c
m
2
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Solution
Verified by Toppr
Given,
h
=
84
c
m
is the height of right circular cone and diameter is
d
=
70
c
m
.
Then radius of
right circular cone
=
d
2
=
70
2
=
35
c
m
.
Therefore, the curved surface area of a right circular cone
=
π
r
l
=
π
r
(
√
r
2
+
h
2
)
=
22
7
×
35
(
√
(
84
)
2
+
(
35
)
2
)
=
110
(
√
7056
+
1225
)
=
110
×
91
=
10010
c
m
2
.
Hence, option
A
is correct.
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