ordinates ∭Sx2+y2+z232dV=

Unfortunately, we cannot provide a complete solution as the integration limits or the shape of the region S are not specified. However, we can outline the general method for solving a triple integral like this one.

To evaluate the integral, we need to perform a triple integration over the region S. The integrand is (x^2+y^2+z^2)^(3/2)dV, where dV represents an infinitesimal volume element in the region S.

The general method for solving a triple integral involves the following steps:

Identify the limits of integration for each variable (x, y, and z) based on the shape of the region S. This may involve converting the integral to a different coordinate system (e.g., cylindrical or spherical coordinates) if the region has a more convenient shape in that system.
Write the integrand in terms of the chosen variables and set up the triple integral with the appropriate limits of integration.
Evaluate the integral using standard integration techniques (e.g., integration by substitution, integration by parts, etc.) or numerical methods (e.g., using a computer program or calculator).

Without knowing the specific limits of integration or the shape of the region S, we cannot provide a more detailed solution