pulls the current dimensions of the fuel pod (radius of the hemispherical end, length of the cylindrical midsection, and height of the conical end) from the NX CAD model

calculates the current volume of the fuel pod

optimizes the dimensions to minimize the surface area while maintaining the existing volume

and pushes the optimized dimensions back into the NX CAD model

$\mathrm{restart}\:$$\mathrm{with}\left(\mathrm{Optimization}\right)\:$$\mathrm{with}\left(\mathrm{CAD}:-\mathrm{NX}\right)\:$

$\mathrm{pars}:=\mathrm{GetParameterNames}\left(\right)$

$\mathrm{heightConeCurr}≔\mathrm{GetParameterValue}\left(''heightCone''\right)\cdot \mathrm{GetParameterUnits}\left(''heightCone''\right)$

$\mathrm{heightConeCurr}:=50.00⟦\mathrm{mm}⟧$

$\mathrm{lenCentralCurr}≔\mathrm{GetParameterValue}\left(''lenCentral''\right)\cdot \mathrm{GetParameterUnits}\left(''lenCentral''\right)$

$\mathrm{lenCentralCurr}:=60.00⟦\mathrm{mm}⟧$

$\mathrm{radSphereCurr}≔\mathrm{GetParameterValue}\left(''radSphere''\right)\cdot \mathrm{GetParameterUnits}\left(''radSphere''\right)$

$\mathrm{radSphereCurr}:=15.00⟦\mathrm{mm}⟧$

$\mathrm{volCanister}≔\left(\mathrm{heightCone}\,\mathrm{lenCentral}\,\mathrm{radSphere}\right)\→\mathrm{evalf}\left(\frac{\mathrm{\π} {\mathrm{radSphere}}^2\mathrm{heightCone}}{3}\+\mathrm{\π}{\mathrm{radSphere}}^2\mathrm{lenCentral}\+\frac{2\mathrm{\π}{\mathrm{radSphere}}^3}{3}\right)\:$

$\mathrm{vol}≔\mathrm{volCanister}\left(\mathrm{heightConeCurr}\,\mathrm{lenCentralCurr}\,\mathrm{radSphereCurr}\right)$

$\mathrm{vol}:=61261.05675{⟦\mathrm{mm}⟧}^3$

$\mathrm{surfaceCanister}≔\left(\mathrm{heightCone}\,\mathrm{lenCentral}\,\mathrm{radSphere}\right)\→\mathrm{evalf}\left(2\mathrm{\π}{\mathrm{radSphere}}^2\+2\mathrm{\π}\mathrm{radSphere}\mathrm{lenCentral}\+\mathrm{\π}\mathrm{radSphere}\sqrt{{\mathrm{radSphere}}^2\+{\mathrm{heightCone}}^2}\right)\:$

$\mathrm{surfaceCanister}\left(\mathrm{heightConeCurr}\,\mathrm{lenCentralCurr}\,\mathrm{radSphereCurr}\right)$

$9528.522740{⟦\mathrm{mm}⟧}^2$

$\mathrm{optValues}≔\mathrm{Minimize}\left(\mathrm{surfaceCanister}\left(\mathrm{heightConeNew}\,\mathrm{lenCentralNew}\,\mathrm{radSphereNew}\right)\,\left\{\mathrm{volCanister}\left(\mathrm{heightConeNew}\,\mathrm{lenCentralNew}\,\mathrm{radSphereNew}\right)\=\frac{\mathrm{vol}}{{⟦\mathrm{mm}⟧}^3}\right\}\,\mathrm{assume}\=\mathrm{nonnegative}\right)$

$\mathrm{optValues}:=\left[7660.22\,\left[\mathrm{heightConeNew}\=21.46\,\mathrm{lenCentralNew}\=10.73\,\mathrm{radSphereNew}\=23.99\right]\right]$

$\mathrm{assign}\left({\mathrm{optValues}}_2\right)\:$

$\mathrm{SetParameterValue}\left(''heightCone''\,\mathrm{heightConeNew}\right)\:$

$\mathrm{SetParameterValue}\left(''lenCentral''\,\mathrm{lenCentralNew}\right)\:$

$\mathrm{SetParameterValue}\left(''radSphere''\,\mathrm{radSphereNew}\right)\:$