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(a) find the spherical coordinate limits for the integral that calculates the volume of the given solid and then(b) evaluate the integral.The solid bounded below by the sphere $\rho=2 \cos \phi$ and above by the cone $z=\sqrt{x^{2}+y^{2}}$

$=\frac{\pi}{3}$

Calculus 3

Chapter 15

Multiple Integrals

Section 7

Triple Integrals in Cylindrical and Spherical Coordinates

Missouri State University

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Harvey Mudd College

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Lectures

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In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. The area above the x-axis adds to the total.

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In mathematics, a double integral is an integral where the integrand is a function of two variables, and the integral is taken over some region in the Euclidean plane.

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I want something to square it with the fourth, but is equal to two squared. That was one for mundane minus minus with a plus. And then you'll be times that times two to the four power. I'm spy. Third's on Dena. Well, here Ah, this is the good counsel to powers are, uh, to square to square issue about four. So all those council Monday and these were illegal to buy third's, uh, which should be should be the volume All these off that region. So you should be able to go volume you. So she grew by if by thirds.

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