London June 4 (Reuters) - Copper prices dipped below the key mark of $10,000 a metric ton on Tuesday for the first time in three weeks as consolidation continued due to lacklustre demand from top consumer China.

Three-month copper on the London Metal Exchange fell 1.5% to $9,994 a ton as at 0915 GMT.

"The United States' manufacturing data is weaker than expected. And copper inventory in Shanghai, closely watched as a gauge of physical demand, remained high," said Carsten Menke with Julius Baer.

"Consolidation in copper could continue until we see clear evidence of a global manufacturing recovery," Menke added.

Soft U.S. economic data has boosted the case for earlier rate cuts by the Federal Reserve, helping the dollar to rebound from its lowest since mid-March.

A stronger dollar makes greenback-priced metals costlier for holders of other currencies.

Copper rally has muted physical demand with Chinese inventory remaining at close to 300,000 tonnes since March.

Chinese copper inventories have not yet started their seasonal decline, suggesting that the copper market is much more sufficiently supplied than some traders had thought.

Looking ahead, China's industrial data due in mid-June will shed more light on metals demand later this year, Menke said.

For other metals, LME zinc touched a three-week low of $2,915. The galvanising metal last traded 0.4% lower at $2,932.5.

LME aluminium dropped 0.5% to $2,649 a ton, nickel edged down 0.5% to $19,305, tin was down 0.7% at $32,110 while lead was 0.4% lower at $2,279. (Reporting by Julian Luk; editing by David Evans)