A hot air balloon is shaped like a truncated sphere like the figure. The gases escape through the porous coating whose vector field isF(x, y, z) = (-3y, 4x, 0). If the radius of the untruncated sphere...

Extracted text: A hot air balloon is shaped like a truncated sphere like the figure. The gases escape through the porous coating whose vector field isF(x, y, z) = (-3y, 4x, 0). If the radius of the untruncated sphere is 12, calculate the volumetric flux of the gases through the surface