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The volume ( V ) of a cylinder can be calculated using the formula ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. Given that the radius ( r ) is 7 and the height ( h ) is 12, the volume is ( V = \pi (7^2)(12) = \pi (49)(12) = 588\pi ). Thus, the volume of the cylinder is approximately 1847.26 cubic units when using ( \pi \approx 3.14 ).

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