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Table sphere is a sport where you have a table and then you use a sphere on it. That's table tennis or ping pong. Makes sense, right? You use a ping pong ball and you play on a table.
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own. Careful of たく's shortening.
That ping pong noise is driving me crazy!