The volume of the solid in the first octant, bounded by the parabolic cylinder defined by the equation z = 25 - x² and the plane y = 2, is confirmed to be 710/3. This conclusion was reached through integration techniques specific to the geometry of the defined boundaries. The discussion emphasizes the importance of verifying calculations in mathematical problems involving three-dimensional solids.
PREREQUISITESStudents and professionals in mathematics, particularly those focusing on calculus and geometry, as well as educators seeking to reinforce concepts related to volume calculations in three-dimensional spaces.
carl123 said:Find the volume of the solid in the first octant bounded by the parabolic cylinder z = 25 − x2 and the plane y = 2.
I already solved it and got 710/3 as my answer, I just wanted to make sure its the right answer