Valentines day is this week and you would like to buy her flowers and get her a new vase to keep the flowers fresh. she often forgets to water her flowers and needs a vase that holds a lot of water. in a catalog there are three vases available and you want to purchase the one that holds the most water. the first vase is a cylinder with diameter 10 cm and height 40 cm. the second vase is a cone with base diameter 16 cm and height 45 cm. the third vase is a sphere with diameter 18 cm. which vase should you purchase? how much more water does the vase with the largest volume hold than the vase with the smallest volume? hint: most formulas involving circles need the radius, not the diameter! answer each part of the question completely. show how you found the volume of each other your work.
which vase should you purchase? find the volume of each of the vases. how much more water does the largest vase hold than the smallest vase?

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution