One link in a chain was made from a cylinder that has a radius of 2 cm and a height of 20 cm. How much plastic coating would be needed to coat the surface of the chain link? Use 3.14 for π. a chain link made from a cylinder that has been bent so that its ends are connected, creating a continuous loop A. 251.2cm2 B. 314 cm2 C. 345.4 cm2 D. 471 cm2

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)