triple integrals

**sonia1** · March 4th 2009, 01:19 PM

Calculate the mass of a spherical bead of radius 3, centered at the origin, if the density of the material it is made of, is given by the function: $p(x,y,z)=|z|$

**HallsofIvy** · March 4th 2009, 05:49 PM

Originally Posted by sonia1

Calculate the mass of a spherical bead of radius 3, centered at the origin, if the density of the material it is made of, is given by the function: $p(x,y,z)=|z|$

That is, of course, $\int\int\int_R |z| dV$ , where R is the sphere of radius 3. If you use spherical coordinates, $z= \rho cos(\phi)$ . You will want to use that for $0\le \phi\le \pi/2$ and $-\rho cos(\phi)$ for $\pi/2\le \phi\le \pi/3$ .

**sonia1** · March 4th 2009, 11:20 PM

oh sorry it's meant to be 2|z|..but i still don't understand the bit $-pcos(phi)$

so what would we integrate in terms of sperical coordinates

Thread: triple integrals

LinkBack

Thread Tools

Display

triple integrals

Similar Math Help Forum Discussions

[SOLVED] Triple integrals

Triple Integrals

Triple Integrals

Triple integrals

Triple Integrals

Search Tags