At a pick-your-own orchard, the wooden baskets for picking peaches can be modeled by a cylindrical prism that is $12$ inches high and $16$ inches in diameter. Jenna and Thomas fill a basket with $195$ peaches.

1. What is the density of peaches?

   Answer (a):

   $\text{Density is }\frac{195 \text{ peaches}}{768 \pi \text{ in}^3}.$

2. Thomas sees produce trucks being loaded at the orchard and starts wondering. What is the density of peaches per cubic foot?

   Hint (b):

   Convert the answer in (a) to peaches/ft³.

3. By looking at the height of the truck driver compared to the truck, Thomas estimates that the produce is loaded into a space that is $45$ feet long by $7$ feet wide by $8$ feet tall. How many peaches does Thomas estimate the truck can hold?

   Hint (c):

   What is the volume of the truck?