maxima minima

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show that the semivertical angle of a right circular cone
of maximum volume and given slant height is tan ֿ¹(√2 )

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******* 1 1	show that the semivertical angle of a right circular cone of maximum volume and given slant height is tan ֿ¹(√2 ) ---------------------------------------------- ----------------------------------------------- Write a expression for volume of the cone in terms of r , h ,l slant height l is constant (given) use that to eliminate r (or h) (express r in terms of the h and l ) now V is expressed in terms of h put dV/dh = 0 solve for h , use the second derivative test for maxima find r , and then tanθ where θ is the semi vertical angle answer and some steps are given below ================ * * ================ integration formulae collection of revision questions
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