Final answer:
The question regarding the shrinkage of a 1.00 m diameter solid steel sphere at 10,000 m depth relates to the physics of material properties and deep ocean pressure. To provide an accurate answer, the bulk modulus of steel and the precise pressure at that depth would be needed, which are not provided.
Step-by-step explanation:
To calculate how much the diameter of a 1.00 m diameter solid steel sphere shrinks when lowered to a depth of 10,000 m in the ocean, we would need to know the bulk modulus of steel and the pressure at that depth. However, the provided references do not give us the necessary information regarding the material properties of steel for this specific calculation.
Typically, the pressure at great ocean depths would be calculated based on the weight of the water above and could be used to determine the compression of materials if their physical properties are known. This is more of a physics problem related to the properties of materials and pressure at ocean depths. Without the elastic properties of steel, the change in diameter cannot be accurately calculated.