a). For this part I got an ice cream cone shape. I tried drawing it on Matlab, but I kept getting red error messages!Let be the three dimensional region defined by .
a). Sketch the region
b). Evaluate
Hint: It may be helpful to use spherical polar coordinates.
This ice cream cone has and .
I found this helpful for part b).!
b). Is the required integral ?
Also, is there an easier way to write this integral???
You can see it as a matter of homogeneity (units)
Volume are expressed by integrating :
Cartesian : dx dy dz (which are all in meters, therefore volume is in cube meter)
Cylindrical : dr r dtheta dz (dr, r and dz are in meters)
Spherical : rē sin(phi) dr dtheta dphi (r and dr are in meters)