My answers are:
Owan contains soup.
※an owan contains miso soup.
Chawan rice（or tea）.
※a chawan contains rice.
and Yunomi hot water（or tea）.
※a yunomi contains green tea.
Many owans are laquer ware, because they get less heat when contain hot soup. So it’s easy to hold them and sip the contents.
Here is a definition of chawan.
chawan
Ceramic bowls in which rice or tea is served. The word chawan（literally,”teabowl”）originally referred to bowls used in the tea ceremony; it is now also the general term for rice bowls and teacups without handles.
In the typical Japanese household each person as a rice bowl and teacup reserved for his or her exclusive use.
As it is customary in Japan to hold the rice bowl in one hand as one eats, the bowl is normally of a standard shape and weight, making it easy to pick up and hold. Teacups are of wide variety of shapes and sizes, some with lids.
Japan An Illustrated Encyclopedia p.177
Here is a reference to Japanese table ware.
Many different bowls and dishes are used for Japanese food. We use flat plates, rice bowls, soup bowls, and multipurpose bowls. We also have a Japanese-style teapot and teacups.
On a table you will see small items like chopsticks, chopsticks rests, and small plates that are used for dipping food in soy sauce.
You can lift your dish when eating. To do so, use the hand that is not holding the chopsticks. When lifting your cup of tea, try to hold the side of the cup with the other hand. It is best not ot pick up the flat plates.
One-minute English Speeches about Japan pp.90-91
