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Tagged with solid-of-revolution conic-sections
4
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Surface (superior and lateral) and volume of an ungula
Context
Definition: An ungula is the solid obtained by cutting a cone with a plane and keeping the part between the base of the cone and the plane
I couldn't find the formulas to obtain the upper ...
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Is there a term for the class of conic sections revolved around an axis (sphere, ellipsoid, paraboloid, hyperboloid)?
I can't find a general term better than "3D conic sections" for these solids of revolution. Does anyone know how to categorize these particular solids of revolution?
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Determining the volume of a hyperbola revolved around the y axis using double integrals
I'm trying to calculate the volume of the hyperbola $\frac{x^{2}}{8.38^{2}}-\frac{y^{2}}{4.24^{2}}=1$ revolved around the y-axis with limits $\left\{-11.1\le y\le4.13\right\}$, and I'm attempting to ...
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I need to rotate this parabola around the y axis, but can't find the correct expression
I need to revolve this parabola $360$ degrees about the $y$ axis (to find volume of revolution).
$y = -0.399x^2 + 0.0232x + 5.68$
But I cannot express it in the form $x^2 = f(y)$, which is required ...
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