Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
$$y = 5 \left( x ^ { 2 } + 4 \right) , y = 5 \left( 12 - x ^ { 2 } \right) ; \text { about } y = - 5$$

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The Answer of Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
$$y = 5 \left( x ^ { 2 } + 4 \right) , y = 5 \left( 12 - x ^ { 2 } \right) ; \text { about } y = - 5$$

Find the Volume of the Solid Obtained by Rotating the Region