
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\((\sqrt{h^2+r^2}+r)\)