So this cone’s radius is actually \(5\) feet and now finding the volume is pretty straightforward. Say we have a cone whose base radius measures \(3\) units, height measures \(4\) units, and slant height measures \(5\) units. 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. This problem has been solved Youll get a detailed solution from. Substitute slant height and radius into the Surface Area equation. We will substitute these values to find the slant height by using the Pythagorean Theorem. 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. Question: The surface area of the cone is 7870 square feet. The Surface Area of a cone is: Given the base diameter is 6, the radius of the base is 3. The surface area of a cone is: So, we have: Factor out r. The total surface area of a cone Lateral surface area + Base area. How to determine the radius The given parameters are: Surface Area, A 216. SA B + LA, where SA is known to the surface, B describes the AREA of the base, and also LA refers to a lateral location. The \(h\) represents the height of the cone. The lateral surface area is 177 cm 2 less than the total surface area of a cone. Find the surface area of each cone with the given dimensions. 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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