Triple Integrals in Spherical Coordinates

Calculus 3 tutorial video that explains triple integrals in spherical coordinates: how to read spherical coordinates, some conversions from rectangular/polar to spherical, what the integrals mean in terms of volume and mass using a density function, how to set them up, how to find the bounds for integration, and works through examples. Examples that you might see from a typical Calculus 3 course include: mass of a sphere with a given density function, volume inside both a cone and a sphere, and volume inside a cone and below a horizontal plane. 0:00 Introduction to spherical coordinates 4:05 Unit of volume in spherical coordinates 7:03 Example 1 (Mass of a sphere) 14:12 Example 2 (Volume inside cone & sphere) 19:26 Example 3 (Volume inside cone & below plane) Houston Math Prep Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902s-ZkG8p8gFpiQa_iEM0M8 Houston Math Prep YouTube: https://www.youtube.com/user/HoustonMathPrep