First you times pi by e=mc2 by the latitude of the sun and now you have your answer.
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The answer will depend on the shape that you are considering.
You measure or calculate the surface area; you measure or calculate the volume and then you divide the first by the second. The surface areas and volumes will, obviously, depend on the shape.
The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
The answer will depend on the shape of the dome. If it is a hemisphere, then the voume is 2/3*pi*r3. But it could be paraboloid or ellipsoidal in shape.
Ignore the orange skin. Concentrate on the edible part. What shape is it? How would you calculate its volume?