A football is 11 inches from tip to tip and 7.2 inches in diameter at its thickest. The shape of the football can be modeled by the function $\displaystyle {f{{\left({x}\right)}}}=-{0.119}{x}^{{2}}+{3.6}$, for $\displaystyle -{5.5}\le{x}\le{5.5}$, where $\displaystyle {x}$ is in inches. Find the volume of the football by rotating the region bounded by the graph of $\displaystyle {f}$ about the $\displaystyle {x}$-axis.

Volume = Select an answer square inches inches cubic inches
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