A cone is an three-dimensional geometric shape that formed by the locus of all straight line segments that join the apex to the base. The surface generated by a straight line, the generator, passing through a fixed point and moving along a fixed curve. In elementary geometry, cones are assumed to be right circular. The volume and the surface area of the cone depend upon the area of base, height and slant height of the cone.

Cone Shape:

Cone

Where, 'r' be the radius, 'h' be the height and 'l' be the slant height of a cone.

The formulas for the surface area and volume of a cone are as follow:

Formula:

Curved Surface Area of Cone = $\pi$rl

Total Surface Area of a Cone = $\pi$ r(r + l)

Volume of a Cone = $\frac{1}{3}$$\pi r^2$h

Where,
r = Radius of a cone
h = Height of a cone
l = Slant height of a cone.