10/20 Which measurement is closest to the volume of a cylinder that has a radius of 3 inches \( \& a \) hoight of 10.5 inches? \( 197.92 \mathrm{in}^{3} \) \( 296.88 \mathrm{in}^{3}{ }^{3} \) 254,47 in. \( ^{3} \) \( 395.84 \mathrm{in}^{3} \)

To find the volume of a cylinder, you can use the formula \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height. Plugging in your values: \( V = \pi (3^2)(10.5) \) results in approximately \( 99.96 \pi \), which is around \( 313.56 \) cubic inches. While this doesn't exactly match any of your options, the closest one is \( 296.88 \mathrm{in}^{3} \). When calculating volumes, make sure to keep track of your units throughout the process. A common mistake is misapplying the formula or mixing units, which can lead to confusion. Double-check your numeric values and calculations to ensure accuracy!