Another triple integral.  We're integrating over the interior of the sphere

Let's do the outer integral over z.   z stays within the sphere so it goes from -2 to 2.
For the middle integral we have

x is the inner integral so at this point we conservatively say its zero.  That means y goes from  and
 and 
Similarly the inner integral x goes between 
So we rewrite the integral

Let's work on the inner one,

There's no z in the integrand, so we treat it as a constant. 

So the middle integral is
 
  
I gotta go so I'll stop here, sorry.
 
        
                    
             
        
        
        
No, in order for a right triangle to be similar it would need to have the same height and base.
        
                    
             
        
        
        
The answer is 112 you have to add each of the sides up. There are 4 triangles 6x4 is 24 so 24x4 because there are 4 triangles and there is 1 square and if all of the sides are the same then it is 4x4 which is 16. Then you have 112 because, 24 x4 is 96 pulse 16 is 112