2. Triple Integral Applications 2a. Find the volume of the solids in the first octant which bounded by xy-plane, yz-plane, plane x+y=4 and z = x2+6. 2b. Given the region bounded in between z = r2 and z =1, side by the cylinder r2 ≤ 4, and in the first and second octant. Determine its volume by using cylindrical coordinate system. 2c. Solving Using Spherical Coordinates 2c. Calculate the volume of region which is bounded above by sphere of 2 x2 + y2+z2 = 81 and below by cone z = √x2 + y2 in the first octant.

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