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Why does $\frac{V_n}{A_n}$ represent the concentration of volume around the boundary?

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#geometry #analysis #volume #convex-geometry
136
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How is the formula for the volume of a body in $\mathbb{R}^n$ derived?

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#integration #geometry #analysis #volume #spherical-coordinates
1k
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Dirichlet's Integral to find Volume with gamma function values

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#integration #multivariable-calculus #inequality #volume #gamma-function
105
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Upper bound on volume growth on Riemannian manifold

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#metric-spaces #riemannian-geometry #volume
115
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Find the volume between intersection of two surfaces?

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#volume
63
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Volume of surface using triple integrals

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#volume #surfaces
67
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A cube of edge $10$ is cut into two integer-edge cuboids, and one of those is cut again. What is the smallest possible volume of the largest cuboid?

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#geometry #volume
73
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Calculate $I= \iiint\limits_{\Omega}2\,{\rm d}x\,{\rm d}y\,{\rm d}z$

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#multivariable-calculus #alternative-proof #volume #multiple-integral #jacobian
42
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Triple integrals(calculating volume)

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#integration #polar-coordinates #volume
592
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Triple integral: cylinder inside a sphere

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#integration #multivariable-calculus #volume #spherical-coordinates
68
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Volume of body bounded with surfaces

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#volume #plane-curves
42
Views

Solution verification (volume)

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#multivariable-calculus #volume
39
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Volume of the body

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#integration #multivariable-calculus #volume #multiple-integral
168
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GCSE: The volume of frustum

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#geometry #volume
196
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Calculation of the volume of a 3D region with triple integral

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#integration #multivariable-calculus #volume

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