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Standard IX
Mathematics
Curved surface area of a Right Circular cone
Question
If the base area of a cone is
616
c
m
2
, its height is
48
c
m
, then its slant height is:
50
c
m
25
c
m
8
c
m
18
c
m
A
25
c
m
B
50
c
m
C
8
c
m
D
18
c
m
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Solution
Verified by Toppr
We know, the base of a cone is a circle.
Therefore, the base area
=
π
×
r
2
⇒
616
=
π
×
r
2
⇒
r
=
14
c
m
Also, the height of the cone
h
=
48
c
m
.
Now, we know,
l
2
=
r
2
+
h
2
⇒
l
2
=
14
2
+
48
2
⇒
l
2
=
2500
⇒
l
=
50
c
m
Hence, option
B
is correct.
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Similar Questions
Q1
If the base area of a cone is
616
c
m
2
, its height is
48
c
m
, then its slant height is:
View Solution
Q2
The area of the base of a cone is
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and its height is
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. The total surface area of cone is:
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Q3
The area of the circular base of a cone is 616 cm
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and its height is 48 cm. Find its whose surface area.
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Q4
Base area of a right cone is
154
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m
2
. If its slant height is
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c
m
. Find the height of the
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Q5
Curved surface area of a cone is
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m
2
and radius of its base is
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c
m
. Find its slant height and perpendicular height.
(
π
=
3.14
)
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