18: Show that vertical angle of a right circular cone of minimum curve

1.	18: Show that vertical angle of a right circular cone of minimum curved surfacethat circumscribes a given sphere is 2sin (2-1)
Answer» The formula of curved surface area of right circular cone is : pirl where r is the radius of and l is the slant height. or S = pix(root(a^2 + x^2) Solve for differentiation of S and equate it to zero since curved surface area is given as minimum. that is dS/dx = 0

18: Show that vertical angle of a right circular cone of minimum curved surfacethat circumscribes a given sphere is 2sin (2-1)

Answer»

The formula of curved surface area of right circular cone is : pi*r*l

where r is the radius of and l is the slant height.

S = pi*x*(root(a^2 + x^2)

Solve for differentiation of S and equate it to zero since curved surface area is given as minimum.

that is dS/dx = 0