Question

Compute the volume of $S=\left\{\left(x,y,z\right) \in \mathbb{R}^3: 2x^2 + z^2 \leq 1, 3y^2 + z^2 \leq 1 \right\}$

score 65 · Answer 1 · 2023-05-14 09:02:04

65

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Compute the volume of $S=\left\{\left(x,y,z\right) \in \mathbb{R}^3: 2x^2 + z^2 \leq 1, 3y^2 + z^2 \leq 1 \right\}$

Published on 14 May 2023 - 9:02

score 104 · Answer 2 · 2026-03-29 17:45:06

104

Views

Find the volume of the solid bounded by the surfaces: $x² + y² + z² = a²$ and $x² + y² \geq a|x|$, ($a > 0$)

Published on 29 Mar 2026 - 17:45

score 107 · Answer 3 · 2023-05-17 20:24:34

107

Views

Lower bound on the volume of the intersection of two unit hyperspheres

Published on 17 May 2023 - 20:24

score 78 · Answer 4 · 2023-05-20 08:55:12

78

Views

volume in linear algebra

Published on 20 May 2023 - 8:55

score 204 · Answer 5 · 2026-03-29 17:44:51

204

Views

Calculating $\iiint_V g(x+y+z)dxdydz$

Published on 29 Mar 2026 - 17:44

score 27 · Answer 6 · 2023-05-21 14:32:53

27

Views

Intersection Volume of N dimensional ball and square

Published on 21 May 2023 - 14:32

score 74 · Answer 7 · 2026-03-29 18:36:33

74

Views

How to prove an object $\in R^3$ with its surface area finite must also have its volume finite?

Published on 29 Mar 2026 - 18:36

score 69 · Answer 8 · 2026-02-23 08:19:34

69

Views

Divergence theorem in 3D

Published on 23 Feb 2026 - 8:19

score 92 · Answer 9 · 2023-05-28 04:12:26

92

Views

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Published on 28 May 2023 - 4:12

score 33 · Answer 10 · 2026-03-27 20:21:06

33

Views

Integrals to calculate the volume of a cylinder bounded by a plane that cuts the cylinder's base

Published on 27 Mar 2026 - 20:21

score 66 · Answer 11 · 2026-03-26 03:12:22

66

Views

Volume of the solid of revolution: $y=x^2$ about $y=x$.

Published on 26 Mar 2026 - 3:12

score 176 · Answer 12 · 2026-04-03 02:34:17

176

Views

Difficulty in finding volume of the swimming pool

Published on 03 Apr 2026 - 2:34

score 75 · Answer 13 · 2026-03-29 17:45:32

75

Views

Volume of $K$={$(x,y,z), z\geq 4x+4y, x^2+y^2\leq1-\frac{z}{2}$}

Published on 29 Mar 2026 - 17:45

score 64 · Answer 14 · 2026-03-27 01:44:38

64

Views

Relation between volume of a convex polytope and its width

Published on 27 Mar 2026 - 1:44

score 72 · Answer 15 · 2026-03-26 04:53:06

72

Views

Calculate the volume obtained by rotating around the y axis the circle $(x+1)^2+y^2=4$

Published on 26 Mar 2026 - 4:53

List Question

Compute the volume of $S=\left\{\left(x,y,z\right) \in \mathbb{R}^3: 2x^2 + z^2 \leq 1, 3y^2 + z^2 \leq 1 \right\}$

Find the volume of the solid bounded by the surfaces: $x² + y² + z² = a²$ and $x² + y² \geq a|x|$, ($a > 0$)

Lower bound on the volume of the intersection of two unit hyperspheres

volume in linear algebra

Calculating $\iiint_V g(x+y+z)dxdydz$

Intersection Volume of N dimensional ball and square

How to prove an object $\in R^3$ with its surface area finite must also have its volume finite?

Divergence theorem in 3D

Rotation of a function about the y-axis

Integrals to calculate the volume of a cylinder bounded by a plane that cuts the cylinder's base

Volume of the solid of revolution: $y=x^2$ about $y=x$.

Difficulty in finding volume of the swimming pool

Volume of $K$={$(x,y,z), z\geq 4x+4y, x^2+y^2\leq1-\frac{z}{2}$}

Relation between volume of a convex polytope and its width

Calculate the volume obtained by rotating around the y axis the circle $(x+1)^2+y^2=4$

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