You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.
system
<image>Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, E, at the end.
Question: A $3 \times 3 \times 3$ cube weighs 810 grams. If we drill three holes through it as shown, each of which is a $1 \times 1 \times 3$ rectangular parallelepiped, the weight of the remaining solid is:
<image1>
Choices:
(A) $540 \mathrm{~g}$
(B) $570 \mathrm{~g}$
(C) $600 \mathrm{~g}$
(D) $630 \mathrm{~g}$
(E) $660 \mathrm{~g}$ You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
user
C
Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, E, at the end.
Question: A $3 \times 3 \times 3$ cube weighs 810 grams. If we drill three holes through it as shown, each of which is a $1 \times 1 \times 3$ rectangular parallelepiped, the weight of the remaining solid is:
<image1>
Choices:
(A) $540 \mathrm{~g}$
(B) $570 \mathrm{~g}$
(C) $600 \mathrm{~g}$
(D) $630 \mathrm{~g}$
(E) $660 \mathrm{~g}$ You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
val