Calculus-Sec-14-3-Solution


   14.3     Surface Area                        by SGLee - HSKim -SWSun

 

 1. Find the surface area of the paraboloid  that lies above the -plane.

           http://matrix.skku.ac.kr/cal-lab/cal-14-3-1.html 


 

     

      

     

           

         ,   

       

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2. Find the surface area of the circular cylinder  that lies under the hemispherical .

    http://matrix.skku.ac.kr/cal-lab/cal-14-3-2.html 


 

     ,  

     

     

       

       .

 




 3. Find the area in the first octant among the surface area which was made by intersecting

           the circular cylinder  and the plane 

           http://matrix.skku.ac.kr/cal-lab/cal-14-3-3.html 

 

 

     

     

     .




4. Find the surface area of the portion of the cylinder  lying inside the cylinder .

 

 

    

     

     




5. Find the surface area of the portion of the cylinder  lying inside the cylinder .

 

      

     

     .




6. Find the surface area of a right circular cone of height  and base radius .




7. Find the surface area of  the upper half of the cone  inside the cylinder .







8. Find the surface area of the portion of the sphere  that is inside the cylinder .







9. Find the surface area of the portion of the cylinder  that are within the cylinder .




10. Find the surface area of the part of the plane  that lies in the first octant.




                                                                 

                                                                                                          Main and co-authors

 

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