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(B) $1$. The reaction of cyclohexanone with glycerol in the presence of an acid catalyst $(H^+)$ leads to the formation of a cyclic ketal $(A)$. Glyce

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(B) $1$. The reaction of cyclohexanone with glycerol in the presence of an acid catalyst $(H^+)$ leads to the formation of a cyclic ketal $(A)$. Glycerol has three hydroxyl groups,but the reaction forms a five-membered dioxolane ring,leaving one primary hydroxyl group free.$2$. In the second step,the free hydroxyl group of the cyclic ketal $(A)$ reacts with dimethyl sulfate $(Me_2SO_4)$ in the presence of a base. This is a Williamson ether synthesis or a methylation reaction where the hydroxyl group is converted into a methoxy group $(-OMe)$.$3$. The final product $(B)$ is the methylated cyclic ketal,which corresponds to the structure shown in option $(B)$.

Product $(B)$ of the given reaction is

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