Step 1: Understanding nuclear size.
The size of the nucleus is primarily influenced by factors like the amount of DNA and the volume of the cell, as these factors are related to the nuclear material and the space required to house it.
Step 2: Analyzing the options.
(A) volume of the cell: Correct — The volume of the cell can affect the size of the nucleus, as larger cells require larger nuclei to house the DNA.
(B) shape of the cell: Incorrect — The shape of the cell does not directly affect the size of the nucleus.
(C) amount of proteins: The amount of proteins can affect the function of the nucleus, but it does not directly influence its size.
(D) amount of DNA: Correct — The amount of DNA is directly proportional to the size of the nucleus.
Step 3: Conclusion.
The correct answer is (B) shape of the cell, as the shape of the cell does not directly determine the size of the nucleus.