query: Area of a revolution surface : what's wrong here?
positive_passages.docid: 7241
positive_passages.text: Areas versus volumes of revolution: why does the area require approximation by a cone?
negative_passages.docid: 109288
negative_passages.text: Prove that $x^3+y^3+z^3-3xyz=1$ defines a surface of revolution
negative_passages.docid: 156302
negative_passages.text: Find conditions for a surface of rotation to be regular
negative_passages.docid: 74238
negative_passages.text: Doubt in Application of Integration - Calculation of volumes and surface areas of solids of revolution
negative_passages.docid: 61658
negative_passages.text: Error in area calculation
negative_passages.docid: 67656
negative_passages.text: Intrinsic vs. extrinsic properties of surfaces
negative_passages.docid: 7424
negative_passages.text: Flat quads (or, why is my mesh so funky?)
negative_passages.docid: 121721
negative_passages.text: Subdivision surface modifier problem
negative_passages.docid: 11196
negative_passages.text: Gaussian and Mean Curvatures for a Ruled Surface
negative_passages.docid: 21430
negative_passages.text: Uniform distribution on the surface of unit sphere
negative_passages.docid: 117291
negative_passages.text: Deriving formula for surface area of an ellipsoid
negative_passages.docid: 61952
negative_passages.text: Area of intersection using integration
negative_passages.docid: 964
negative_passages.text: Inaccurate (non-smooth) boundary of the mesh generated by ToElementMesh
negative_passages.docid: 60281
negative_passages.text: Expected area of the intersection of two circles
negative_passages.docid: 109182
negative_passages.text: Expressing the area of the cross section of a cylinder
negative_passages.docid: 85764
negative_passages.text: Why is surface area not simply $2 \pi \int_{a}^{b} (y) dx$ instead of $2 \pi \int_a^b (y \cdot \sqrt{1 + y'^2}) dx$?
negative_passages.docid: 124373
negative_passages.text: Area of a parallelogram, vertices $(-1,-1), (4,1), (5,3), (10,5)$.