Pot
Jar
noun
The kanji and the word are exactly the same, so this means pot or jar.
壺 usually refers to a pot — as in a ceramic vessel — with a rounded body and narrow opening. It can also be used figuratively, like 壺にはまる (something perfectly clicks with your sense of humor and you can't stop laughing) and ド壺にはまる (getting completely stuck in a bad situation with no easy way out). In these figurative uses, 壺 is often written in kana.
This word is made up of a single kanji, so it uses the kun'yomi reading. Thankfully, that's the reading you already learned!
とても古そうな壺ですね。
That jar looks very old.
割れやすいから、壺には触らないでください。
The pot is fragile, so please don't touch it.
壺のふたをそっと開けてみたら、中は空っぽだった。
When I gently opened the lid of the jar, I found that it was empty inside.