A company is packing an ornate cylindrical vase in a rectangular prism box. The box is a square based prism with the dimensions 8 inches by 8 inches by 12 inches. The Vase is a cylinder with a diameter of 8 inches and a height of 12 inches.
To ship it, the company puts Styrofoam peanuts around the outside of the vase to keep it stable
What is the approximate volume must be filled by the Styrofoam peanuts?