![]() So this cone’s radius is actually \(5\) feet and now finding the volume is pretty straightforward. If the curved surface area of the remainder is. Say we have a cone whose base radius measures \(3\) units, height measures \(4\) units, and slant height measures \(5\) units. A hollow cone is cut by a plane parallel to the base and the upper portion is removed. So, to solve the volume and surface area equations, we’d simply plug a cone’s measurements into the respective variables. Think of this as a straight line that runs from the tip of the cone to the edge of its base. Relation between the surface area of a cone and its height. T r 2 rl r(r l) Hence, Total surface area of the cone r (r l) square units. Since the base is a circle, the area of the base r 2. ![]() ![]() More specifically, it’s the length of an imaginary line that runs from the center of the circular base to the very tip of the cone.įinally, the \(l\) represents the slant height. The total surface area of a cone (T) Area of the base Curved Surface area. The \(h\) represents the height of the cone. The \(r\) represents the radius of the circular base of the cone. But which measurements do these letters (or, as we call them in the ‘math world,’ variables) represent? Where \(r\), \(h\), and \(l\) represent different measurements on the cone.
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