Step 1: The assertion states that the eggs of \textit{Ascaris} are mamillated. This refers to the presence of a specific type of coat, which is described as mamillated eggs in the organism.
Step 2: The reason (R) explains that the protein coat surrounding each egg has a rippled surface, which correlates with the described mamillated structure.
Thus, both the assertion and reason are correct, and the reason accurately explains the assertion. Therefore, the correct answer is Option 1.