Amanufacturer makes conical funnels for professional painters. the funnels are formed from plastic with an 8-inch diameter base and a height of 9 inches. after the cones cool, a machine cuts off 1 inch of the tip to leave a 1-inch diameter hole in the end. what is the volume of the funnel? show your work.

The probability that a u.s. resident has traveled to canada is 0.18 and to mexico is 0.09. a. if traveling to canada and traveling to mexico are independent events, what is the probability that a randomly-selected person has traveled to both? (page 109 in the book may ) b. it turns out that only 4% of u.s. residents have traveled to both countries. comparing this with your answer to part a, are the events independent? explain why or why not. (page 119 may ) c. using the %’s given, make a venn diagram to display this information. (don’t use your answer to part a.) d. using the conditional probability formula (page 114 in the book) and the %’s given, find the probability that a randomly-selected person has traveled to canada, if we know they have traveled to mexico.