CBSE Class 12-science Answered
Conics
Asked by | 16 Feb, 2010, 11:13: PM
Expert Answer
(b) tan-1 2.
Volume of a cone = πR2h/3
V = π(S2- h2)h/3 ................S - Slant height, R - Radius, h - height, V - Volume.
dV/dh = 0 .............Note that given slant height, S, so it's a constant.
π(S2 - 3h2)/3 = 0
S2 = 3h2
R2 = S2 - h2
= 2h2
semi vertical angle of a cone α, tan α = R/h = 2
α = tan-1 (2)
Regards,
Team,
TopperLearning.
Answered by | 17 Feb, 2010, 05:34: AM
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