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Standard X
Mathematics
Question
Find the volume of largest possible cone can be curved out from hemisphere of radius 'r'.
1
3
π
r
3
2
3
π
r
3
1
2
(
v
o
l
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m
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f
h
e
m
i
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p
h
e
r
e
)
4
3
π
r
3
A
4
3
π
r
3
B
1
3
π
r
3
C
2
3
π
r
3
D
1
2
(
v
o
l
u
m
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f
h
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m
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p
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r
e
)
Open in App
Solution
Verified by Toppr
R.E.F image
for largest cone
h
=
r
&
r
=
R
⇒
v
=
π
3
r
2
h
=
π
3
r
3
⇒
v
=
1
2
(
v
o
l
.
o
f
h
e
m
i
s
p
h
e
r
e
)
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Similar Questions
Q1
The maximum volume of a cone that can be carved out of a solid hemisphere of radius r is
(a)
3
πr
2
(b)
πr
3
3
(c)
πr
2
3
(d)
3
πr
3