Conics

Asked by  | 16th 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  | 17th Feb, 2010, 05:34: AM

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