A crass host pours the remnants of several bottles of wine into a jug after a party. He then inserts a cork with a 1.70 diameter into the bottle, placing it in direct contact with the wine. He is amazed when he pounds the cork into place and the bottom of the jug (with a 12.0 cm diameter) breaks away. Calculate the extra force (in N) exerted against the bottom if he pounded the cork with a 120 N force.