A piston is seated at the top of a cylindrical chamber with radius cm when it starts moving into the chamber at a constant speed of cm/s (see figure). What is the rate of change of the volume of the cylinder when the piston is cm from the base of the chamber?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.