### Home > INT3 > Chapter 12 > Lesson 12.1.4 > Problem12-70

12-70.

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?

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

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

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?

What is the volume of the truck?