In the recent work [Metrically round and sleek metric spaces, \emph{The
Journal of Analysis} (2022), pp 1--17], the authors proved some results on
metrically round and sleek linear metric spaces and metric spaces. In
continuation, the present article discusses more results on such spaces along
with identification of round and sleek subsets of linear metric spaces and
metric spaces in the subspace topology.Comment: 14 pages, 1figur