Will this solar oven work?

It will probably work because hot dogs don't need a very high temperature to cook. Why is clear tape covering the outside of the tube? The tape will reflect some of the energy of the sun lowering the solar efficiency. To do an exact calculation of the heat gained by the solar oven you would have to specify your latitude and the time of day the experiment is being done(along with other material specs) Atmospheric conditions will also change the heating of the oven