An ice cream company sells their product in a cylindrical container that is 16\text{ cm}16 cm16, start text, space, c, m, end text tall and has a diameter of 14\text{ cm}14 cm14, start text, space, c, m, end text. They are considering switching to a new container that is a rectangular prism whose base is 20 \times 13 \text{ cm}20×13 cm20, times, 13, start text, space, c, m, end text. The company wants the new container to have the same volume as the old container.
How tall should the new container be?