Volume of an airfoil

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I need to know the volume a NACA 0010 airfoil , because there is nothing on the internet and i am still in high school , i have no clue on how to do it , so i decided that if i had the shape on a graph , i could work out the volume of revolution . i faced another problem , i don't know how to get the equation of the curve. So , i found this site where i got point on the curve ( 100 point to be exact ) . Is there any way to get the equation of that curve using computer ( my brother is in engineering school , so we have matlab) enter image description here this is my first post here , so i don't really know the right tags

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If you have points on the curve tabulated on a computer, then the natural approach would be to approximate the integral numerically using the trapezoidal rule. Fitting with an analytic expression and integrating symbolically would probably introduce larger errors anyway.


There are exact equations for NACA airfoils to find at Wikipedia, though.