Does a flattened pancake of clay have the same density as when rolled into ball?

No, a flattened pancake of clay will not have the same density as when it's rolled into a ball. Here's why:

* Density is mass divided by volume.

* Mass stays the same: Whether it's a pancake or a ball, the clay has the same amount of matter, and thus the same mass.

* Volume changes: When you flatten the clay, you increase its surface area but decrease its thickness. This means its overall volume increases.

Since the mass stays the same and the volume increases, the density (mass/volume) will decrease when the clay is flattened.