Question

How to Minimize the surface area of a solid of revolution of a constant volume?

score 315 · Answer 1 · 2026-04-09 17:46:27

315

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How to Minimize the surface area of a solid of revolution of a constant volume?

Published on 09 Apr 2026 - 17:46

score 121 · Answer 2 · 2026-03-26 03:12:50

121

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Simple Way to Calculate the Volume of solid enclosed by Quadric (E.g. Ellipsoid) Surface

Published on 26 Mar 2026 - 3:12

score 126 · Answer 3 · 2026-04-13 00:50:55

126

Views

Volume of each of the 4 or 6 square pyramids that fit in a cube is 1/3 of the cube?

Published on 13 Apr 2026 - 0:50

score 57 · Answer 4 · 2022-03-18 23:10:14

57

Views

How does the algebraic expression for the determinant connect to the volumes of transformed $\mathbb{R}^n$ cubes for $n \geq 4$?

Published on 18 Mar 2022 - 23:10

score 42 · Answer 5 · 2026-04-13 05:53:50

42

Views

Does the volume with cross sections perpendicular to $x$-axis equal the cross sections perpendicular to $y$-axis?

Published on 13 Apr 2026 - 5:53

score 248 · Answer 6 · 2026-03-27 08:46:36

248

Views

Find the volume of the solid of revolution formed when the region bounded by $y=\sqrt{\frac{x-1}{x^3}}$ and $y=0$ is revolved about the $x$-axis

Published on 27 Mar 2026 - 8:46

score 59 · Answer 7 · 2022-03-28 18:38:50

59

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Volume of solid with semi-circular cross sections perpendicular to $x$-axis

Published on 28 Mar 2022 - 18:38

score 698 · Answer 8 · 2026-04-10 17:26:17

698

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Volume of Cylinder and Ellipsoid

Published on 10 Apr 2026 - 17:26

score 61 · Answer 9 · 2026-04-11 07:52:08

61

Views

Two definitions about reflexive polytopes

Published on 11 Apr 2026 - 7:52

score 182 · Answer 10 · 2026-03-25 17:19:54

182

Views

Common region between an icosahedron and a dodecahedron

Published on 25 Mar 2026 - 17:19

score 68 · Answer 11 · 2022-03-31 22:32:07

68

Views

Volume of $M := \left \{ (x,y,z)\in \mathbb{R^3}: 0 \leq z \leq 2 \text{ and } x^2 + y^2 \leq z \right \}$

Published on 31 Mar 2022 - 22:32

score 238 · Answer 12 · 2026-04-02 20:33:50

238

Views

Volume between paraboloid $x^2 +y^2 -4a(z+a)=0$ and sphere $x^2 + y^2 +z^2 =R^2$

Published on 02 Apr 2026 - 20:33

score 51 · Answer 13 · 2026-03-26 18:29:59

51

Views

Integrate $\frac{ e^{i k | \mathbf{r} - \mathbf{r'} |} }{|\mathbf{r} - \mathbf{r'} |}$ in a spherical shell

Published on 26 Mar 2026 - 18:29

score 217 · Answer 14 · 2026-04-12 17:21:17

217

Views

New water level when object is partially submerged

Published on 12 Apr 2026 - 17:21

score 39 · Answer 15 · 2026-03-27 08:42:56

39

Views

Finding the exact volume of a solid with y=5sqrtx, x=0, y=6

Published on 27 Mar 2026 - 8:42

List Question

How to Minimize the surface area of a solid of revolution of a constant volume?

Simple Way to Calculate the Volume of solid enclosed by Quadric (E.g. Ellipsoid) Surface

Volume of each of the 4 or 6 square pyramids that fit in a cube is 1/3 of the cube?

How does the algebraic expression for the determinant connect to the volumes of transformed $\mathbb{R}^n$ cubes for $n \geq 4$?

Does the volume with cross sections perpendicular to $x$-axis equal the cross sections perpendicular to $y$-axis?

Find the volume of the solid of revolution formed when the region bounded by $y=\sqrt{\frac{x-1}{x^3}}$ and $y=0$ is revolved about the $x$-axis

Volume of solid with semi-circular cross sections perpendicular to $x$-axis

Volume of Cylinder and Ellipsoid

Two definitions about reflexive polytopes

Common region between an icosahedron and a dodecahedron

Volume of $M := \left \{ (x,y,z)\in \mathbb{R^3}: 0 \leq z \leq 2 \text{ and } x^2 + y^2 \leq z \right \}$

Volume between paraboloid $x^2 +y^2 -4a(z+a)=0$ and sphere $x^2 + y^2 +z^2 =R^2$

Integrate $\frac{ e^{i k | \mathbf{r} - \mathbf{r'} |} }{|\mathbf{r} - \mathbf{r'} |}$ in a spherical shell

New water level when object is partially submerged

Finding the exact volume of a solid with y=5sqrtx, x=0, y=6

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