Cooling towers at nuclear power plants have a "pinched" chimney shape formed by rotating a hyperbola around an axis. The function $\displaystyle {y}={30}\sqrt{{{1}+\frac{{x}^{{2}}}{{22500}}}}$, for $\displaystyle -{280}\le{x}\le{150}$, where $\displaystyle {x}$ and $\displaystyle {y}$ are in feet, describes the shape of such a tower (laying on its side). Determine the volume of the tower by rotating the region bounded by the graph of $\displaystyle {y}$ about the $\displaystyle {x}$-axis.

Volume = Select an answer ft^4 feet square feet cubic feet
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