Evaluate the surface integral. ∫∫s y2 ds s is the part of the sphere x2 + y2 + z2 = 100 that lies inside the cylinder x2 + y2 = 25 and above the xy-plane

Parameterize the region in spherical coordinates using



with and . Then




Now the surface integral is

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)