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Define : Right circular cone.

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Right circular cone is a solid that has a circular base which is connected to its vertex by a curved surface. It is generated by the revolution of a right angled triangle about one of its sides containing the right angle as the axis.

If r = radius of base of the cone, 

h = perpendicular distance between the vertex and the base, then 

• Volume = \(\frac13\) πr2 h cu. units 

• Curved surface area = πrl = πr\(\sqrt{h^2+r^2}\) (l = slant height distance of any point on the circumference of the circle and the vertex) 

• Total surface area = πrl + πr2 = πr(l + r) =  πr\((\sqrt{h^2+r^2}+r)\)

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