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Byju's Answer
Standard IX
Mathematics
Volume of a right circular cone
A cone of hei...
Question
A cone of height of
8
m
has C.S.A
188.4
m
2
. Find its volume
(
π
=
3.14
)
Open in App
Solution
Given height
h
=
8
m
C.S.A
=
π
r
L
=
188.4
m
2
Slant height
L
=
√
h
2
+
r
2
L
=
√
8
2
+
r
2
As
π
r
L
=
188.4
π
×
r
×
√
8
2
+
r
2
=
188.4
S.O.B.S
π
2
×
r
2
×
(
8
2
+
r
2
)
=
(
188.4
)
2
64
π
2
r
2
+
π
2
r
4
=
35494.56
Let
r
2
=
x
π
2
x
2
+
64
π
2
x
−
35494.56
=
0
As
π
=
3.14
,
π
2
=
9.8596
9.8596
(
x
2
+
64
x
)
=
35494.56
x
2
+
64
x
=
3600
x
2
+
64
x
−
3600
=
0
x
2
+
100
x
−
36
x
−
3600
=
0
x
(
x
+
100
)
−
36
(
x
+
100
)
=
0
∴
x
=
−
100
,
36
Take Positive Value
x
=
36
as
r
2
=
x
r
2
=
36
∴
volume
=
1
3
π
r
2
h
=
1
3
×
3.14
×
36
×
8
=
904.32
3
=
301.44
m
3
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2
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