It is not possible to determine which sphere is solid and which is hollow without cutting them open or using some other non-invasive means of examination. This is because both spheres have the same mass, radius, and exterior surface, so there are no outwardly visible differences between them that can be used to distinguish one from the other.
One way to determine which sphere is solid and which is hollow without cutting them open would be to use a device that can measure the density of an object, such as a balance or a densitometer. The solid sphere would have a higher density than the hollow sphere.
Another possibility would be to use a device that can measure the electrical conductivity of an object, such as a multimeter or an oscilloscope. If the spheres are made of a conductive material, the solid sphere would have a higher conductivity than the hollow sphere, due to the greater amount of material present in the solid sphere.
However, it is important to note that these methods would only work if the spheres are made of a material that can be accurately measured in this way. If the spheres are made of a non-conductive or non-homogeneous material, it may not be possible to determine which is solid and which is hollow without cutting them open.
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