integration over a 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NiI=The centroid of the hemispherical surface (red) versus the hemispherical sold (blue) on the axis of symmetry. The solid clearly has more mass at an equal distance below a horizontal plane through the midpoint of the vertical axis compared to above that plane, so the centroid has to be pulled down from the midpoint.We calculate and integrate the differential of surface area over the hemisphere of radius LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSI9RidGMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSy1GLDYmUSJhRicvRjBRJXRydWVGJ0YyL0Y1USdpdGFsaWNGJ0YyRjQ= in spherical and Cartesian parametrizations of that surface to find the usual formula for half the surface area of a sphere: 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. We simply leave the constant value LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS8lK2V4ZWN1dGFibGVHRjFGMg==everywhere in the formulas.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surface area: spherical coordinates (natural)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Zooming in we see the grid boxes which are approximately rectangles of height LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSJ+RidGMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSy1GLDYmUShkJiM5NjY7RicvRjBRJXRydWVGJ0YyL0Y1USdpdGFsaWNGJ0YyRjQ= and width LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEifkYnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTi1GLDYmUShkJiM5NTI7RidGL0YyRjVGMkY8, for a differential of surface area of 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSJ+RidGMkY0LyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSy1GLDYmUShkJiM5NjY7RicvRjBRJXRydWVGJ0YyL0Y1USdpdGFsaWNGJ0YyRjQ=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 :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 can easily calculate the tangents to the coordinate grid lines on the surface and their cross-product which is a normal to the surface.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Notice the common factor of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ki1JJW1zdXBHRiQ2JS1GLDYmUSYmcmhvO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2V4ZWN1dGFibGVHRjkvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW5HRiQ2JVEiMkYnRjpGPC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGPC8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlotRiM2Ki1GLDYmUSRzaW5GJ0Y3RjpGPC1GRzYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y8RkpGTEZORlBGUkZURlZGWEZlbi1JKG1mZW5jZWRHRiQ2JS1GIzYoLUYsNiZRJiZwaGk7RidGN0Y6RjwvJStmb3JlZ3JvdW5kR1EqWzAsMCwyNTVdRidGOi8lKXJlYWRvbmx5R1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EqMkR+T3V0cHV0RidGPEY6RjxGZ29GOkZqb0ZdcEY8RmdvRjpGam9GXXBGPEYrRjpGPA==, which if factored out, leaves exactly the unit outward normal to the sphere: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkmbWZyYWNHRiQ2KC1JKG1mZW5jZWRHRiQ2Jy1GIzYpLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEiLEYnRjovRj5RJ25vcm1hbEYnLyUmZmVuY2VHRjwvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGPC8lKnN5bW1ldHJpY0dGPC8lKGxhcmdlb3BHRjwvJS5tb3ZhYmxlbGltaXRzR0Y8LyUnYWNjZW50R0Y8LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjQ2JlEieUYnRjdGOkY9RkAtRjQ2JlEiekYnRjdGOkY9RjpGREY6RkQvJSVvcGVuR1EnJmxhbmc7RicvJSZjbG9zZUdRJyZyYW5nO0YnLUYjNiYtRjQ2JlEnJiM5NjE7RicvRjhGPEY6RkRGN0Y6Rj0vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRltwLyUpYmV2ZWxsZWRHRjwtRkE2LlEiPUYnRjpGREZGL0ZJRjxGSkZMRk5GUEZSL0ZVUSwwLjI3Nzc3NzhlbUYnL0ZYRmVwLUYvNictRiM2NS1GNDYmUSRzaW5GJ0Zlb0Y6RkQtRi82JS1GIzYmLUY0NiZRJiZwaGk7RidGZW9GOkZERjovJTBmb250X3N0eWxlX25hbWVHUSkyRH5JbnB1dEYnRkRGOkZELUZBNi5RIn5GJ0Y6RkRGRkZjcEZKRkxGTkZQRlJGVC9GWEZWLUY0NiZRJGNvc0YnRmVvRjpGRC1GLzYlLUYjNiYtRjQ2JlEoJnRoZXRhO0YnRmVvRjpGREY6RmVxRkRGOkZERkBGaHFGW3FGXnFGaHFGW3FGX3JGQEZocUZcckZecUY6RmVxRkRGOkZERmpuRl1vLUY0NiNRIUYnRjpGRA==,
so indeed that factor is just the magnitude of the normal vector.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The magnitude of the outward normal produces the correction factor for the differential of surface area. Its integral over the hemisphere produces exactly the surface area we expected.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surface area: Cartesian coordinates (unnatural but works)We can also simply use the Cartesian coordinates to parametrize the hemisphere as the graph of the function
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. Since the slope goes infinite at the equator in the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn plane, the graphics has some problems there, indicating that this is less natural than the spherical coordinate approach, but nevertheless we can still do it.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The length of this normal is the sqrt of this expression, so if we integrate it, we get the surface area as well.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=centroid of hemisphere?We can easily calculate the location of the centroid on the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiekYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn-axis for this upper hemisphere. Just halfway from the center to the North pole.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