Q. 244.7( 3 Votes )

Show that the sem

Answer :


Let ABC be cone having slant height l and semi-vertical angle θ.


Let V be the volume of the cone,





Now,





sin θ = 0 or sin2θ - 2cos2θ =0


sin θ = 0 or (1- cos2θ)-2cos2θ =0


θ = 0 or 1- 3cos2θ =0


θ = 0 or


Now,



At θ = 0,


And at ,


Hence, V is maximum for


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