A type of hypothetical spacecraft rotates around a central point to create, what some call, artificial gravity. Imagine taking a soda can, setting it on the table, and spinning it around so you can see different parts of the label. If that soda can were in space, the "artificial gravity" on the inside of the can would be pointing away from the outer surface. An image of this hypothetical cylindrical design is shown below. These are also called centrifuges. For people to be comfortable for a given mission duration, they need at least 20 m³ of space per person. If the spacecraft is designed as nested cylinders that have an outer diameter of 16 m, and an inner diameter of 10.6m, how many people can the spacecraft accommodate if this centrifuge is 10 m tall (round down to the nearest whole person)?

A type of hypothetical spacecraft rotates around a central point to create, what some call, artificial gravity. Imagine taking a soda can, setting it on the table, and spinning it around so you can see different parts of the label. If that soda can were in space, the "artificial gravity" on the inside of the can would be pointing away from the outer surface. An image of this hypothetical cylindrical design is shown below. These are also called centrifuges. For people to be comfortable for a given mission duration, they need at least 20 m³ of space per person. If the spacecraft is designed as nested cylinders that have an outer diameter of 16 m, and an inner diameter of 10.6m, how many people can the spacecraft accommodate if this centrifuge is 10 m tall (round down to the nearest whole person)?