query: Surface and volumes of solids of revolution
positive_passages.docid: 150255
positive_passages.text: Volume generated by lemniscate revolving about a tangent at the pole.
negative_passages.docid: 40098
negative_passages.text: How many faces of a solid can one "see"?
negative_passages.docid: 41573
negative_passages.text: How to convert a surface into a solid
negative_passages.docid: 98971
negative_passages.text: Why is $\pi r^2$ the surface of a circle
negative_passages.docid: 35571
negative_passages.text: Euler Rotations in Ordinary Space
negative_passages.docid: 95004
negative_passages.text: Infinite Volume but Finite Surface Area
negative_passages.docid: 38139
negative_passages.text: Solid volume using double integral
negative_passages.docid: 105205
negative_passages.text: Slope of geometry as `fac` input for cycles material
negative_passages.docid: 101595
negative_passages.text: What is the highest percentage of surface area that can be seen at any given moment on a symmetrical object?
negative_passages.docid: 36956
negative_passages.text: How to plot a surface from a set of data?
negative_passages.docid: 128274
negative_passages.text: Why sphere minimizes surface area for a given volume?
negative_passages.docid: 82126
negative_passages.text: Volume of bounded region between sphere and a plane
negative_passages.docid: 150491
negative_passages.text: Surface area of ellipsoid
negative_passages.docid: 149830
negative_passages.text: What's the name of each pseudo-rectangle in a spherical surface?
negative_passages.docid: 146254
negative_passages.text: A problem on Minima. Proving sphere has minimum surface area for a given volume
negative_passages.docid: 97209
negative_passages.text: Smoothness of a surface
negative_passages.docid: 112135
negative_passages.text: Area formula for cyclic pentagon?