I need to find the volume between the cone z=sqrt(x^2+y^2) and the sphere x^2+y^2+z^2=1 that lies in the first octant. Now I've used cylindrical coordinates for this and found the limits to be(adsbygoogle = window.adsbygoogle || []).push({});

0<theta<pi/2

0<r<1/sqrt(2)

r<z<sqrt(1-r^2)

I've done the triple integral and found the answer to be [tex]\frac{\pi}{6}[/tex] - [tex]\frac{\sqrt{2}\pi}{12}[/tex]

Just want to check to see if this is correct, as I'm not fully sure about the limits I've got. Any help would be great, thanks!

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding a volume by triple integration

Loading...

Similar Threads - Finding volume triple | Date |
---|---|

I Q about finding area with double/volume with triple integral | Sep 13, 2017 |

I Should we consider negative axis when finding the volume? | Dec 21, 2016 |

B Using infinitesimals to find the volume of a sphere/surface | Jun 3, 2016 |

I Finding the volume under the curve of a rotated function | Apr 27, 2016 |

B How do you find the volume? | Mar 30, 2016 |

**Physics Forums - The Fusion of Science and Community**