Calculate the unknown defining surface areas , heights, slant heights, volume, and radii of a cone with any 2 known variables. Online calculators and formulas for a cone and other geometry problems. Cone is a three-dimensional structure having a circular base where a set of line segments, connect all of the points on the base to a common point called apex. A cone can be seen as a set of non-congruent circular discs that are stacked on one another such that ratio of the radius of adjacent discs remains constant. You can think of a cone as a triangle which is being rotated about one of its vertices. There is a predefined set of formulas for the calculation of curved surface area and total ... Surface Area of a Cone ? There are two surfaces that make up the total surface of the cone - the lateral (or curved) surface and the base. The surface area of the cone is the total area covered by these surfaces. Alright, so what's formula for the surface area of a cone ? Cone A cone is a three-dimensional shape that has a circular base and it narrows down to a sharp point called a vertex. One of the easiest real-life examples that could be given is a birthday cap in the shape of a cone . With regards to a cone , we have two types of areas. One is the total surface area and the other is a curved surface area .