Answer:
Let
r be the radius and h and the height of the cone.
In
fig. OH = h ? R
In
R2 =
r2 + (h ? R)2 ?. (1)
Volume
of cone
(by
(1))
?.
(2)
4Rh = 3h2
4R = 3h
h = 4R/3
Now
is
maximum when
Hence
volume of largest cone volume
of the sphere hence the result.
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