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Standard IX
Mathematics
Volume of a right circular cone
Question
Find the slant height of the cone, whose volume is
1232
c
m
3
and height is
24
c
m
.
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Solution
Verified by Toppr
Volume of cone
=
1
3
π
r
2
h
h
=
24
cm and
V
=
1232
c
m
3
..(given)
Thus,
1232
=
1
3
π
×
r
2
×
24
∴
r
2
=
1232
×
3
22
7
×
24
=
49
∴
r
=
7
cm.
Now, slant height
of cone
(
l
)
=
√
r
2
+
h
2
=
√
7
2
+
24
2
=
√
625
=
25
cm.
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