Which measurement is closest to the volume of a culinder that has a radius of 3 inches \& a height of 10.5 inches? \( \quad \)\begin{tabular}{|c|}\hline 254.47 in. \( ^{3} \) \\ \hline 397.92 in. \\ \hline 296.84 in. \( ^{3} \) \\ \hline 298 in. \( ^{3} \) \\ \hline\end{tabular}

To find the volume of a cylinder, you can use the formula \( V = \pi r^2 h \). Here, the radius \( r \) is 3 inches and the height \( h \) is 10.5 inches. Plugging in those values, you get \( V = \pi (3^2)(10.5) \), which calculates approximately to 99.47π, or around 312.42 cubic inches. So, the closest measurement in your options is 296.84 in.³, as it rounds to a more realistic volume. Looking into real-world scenarios, understanding cylinder volume is crucial in fields like manufacturing and engineering. For example, if you're designing a water tank, knowing the accurate volume helps ensure it meets usage requirements. So next time you're tackling a volume calculation, remember its practical implications!