given a,b,c,d in R. what's the volume of: $ax+by+cz<d; x^2+y^2+z^2<1$. I've tried using polar coordinates, but got a really hard integral. Is there a way to solve it with integrals?
2026-03-28 03:30:44.1774668644
volume of intersection of a plane and a sphere
203 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in VOLUME
- Is there a volume formula for hyperbolic tetrahedron
- An assignment for kids (Water in a container) leads to an optimization problem
- Number of unique integer coordinate points in an $n$- dimensional hyperbolic-edged tetrahedron
- Volume of a region enclosed between a surface and various planes
- Find volume of 3d solid bounded by surfaces
- Application of Gauss' Divergence Theorem
- Relative volume of $\delta$-fattening (neighborhood) of a compact set
- How to calculate volume of revolution between a curve and a line
- How to prove the space of divergence-free vector fields on a manifold is infinite dimensional?
- How do you calculate volume with cubes of fraction lengths?
Related Questions in SPHERES
- Name of some projection of sphere onto $\mathbb{R}^2$
- Deriving the Equation for Finding the Area of a Sphere
- Trilaterating 2D cartesian coordinates, without Z
- How many points define a sphere of unknown radius?
- Generate uniformly distributed points in n-dimensional sphere
- Arc length of curve of intersection between cylinder and sphere
- What are the tangent planes of the sphere B, which contains the line L?
- Find an equation of the curve that is the intersection of the sphere.
- Need help figuring out what I did wrong in solving for equation of sphere (and finding radius/center).
- Writing an Expression for the Volume of a Spherical Shell
Related Questions in MULTIPLE-INTEGRAL
- Integrand of a double integral
- Switching order of integration of $\int_{-1}^2\int_{-x}^{2-x^2} f(x,y) dy dx$
- Evaluating the improper double integral $\int_{D} \frac{dxdy}{\sqrt{1-a\cdot x-b\cdot y}}$
- Calculate a multiple integral
- Exercise on integration of a function in two variables
- Fubini's theorem for multiple Riemann integrals
- Does this Riemann integral over $[0,1]^2$ exist?
- ($f:R\subset \Bbb R^n\to \Bbb R$, $f\geq 0$, $\int\limits_R f(x)\,dx=0$) $\implies$ ($f=0$ almost everywhere)
- Dividing an Integral by Another Integral
- Triple integral. Spherical coordinates. Too much calculations
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
tried to solve it. hope someone will review it.