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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
15
cm and base diameter
16
cm is __________.
60
π
cm
2
68
π
cm
2
120
π
cm
2
136
π
cm
2
A
120
π
cm
2
B
136
π
cm
2
C
60
π
cm
2
D
68
π
cm
2
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Solution
Verified by Toppr
We know, the curved surface area of a right circular cone
=
π
r
l
.
Slant height
l
=
√
h
2
+
r
2
⇒
l
=
(
√
8
2
+
15
2
)
⇒
l
=
17
cm.
Now substitute the value in above equation, we have,
the curved surface area
=
π
×
8
×
17
=
136
π
cm
2
.
Therefore, option
D
is the correct.
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Similar Questions
Q1
The curved surface area of a right circular cone of height
15
cm and base diameter
16
cm is __________.
View Solution
Q2
The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is
(a) 60π cm
2
(b) 68π cm
2
(c) 120π cm
2
(d) 136π cm
2