The mechanics at lincoln automotive are reboring a 6-in deep cylinder to fit a new piston. the machine they are using increases the cylinders radius one-thousandth of an inch every 4min. how rapidly is the cylinder volume increasing when the bore (diameter) is 3.800in

Volume of a cylinder with a radius of 13 in and height of 30 in

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

He ! a group of farmers planned to clean 80 acres of wheat per day to finish the work on schedule. right before the work started, they received a new piece of machinery that them clean 10 more acres per day than originally planned. as a result of increased productivity in the last day before the deadline they only had to clean 30 acres. how many acres of wheat did the group of farmers have to clean?