My sister’s birthday is in a few weeks and i would like to buy her a new vase to keep fresh flowers in her house. 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 i 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 a diameter of 18 cm.

1. find the volume for each vase.

2. which vase should i purchase?

3. how much more water does the largest vase hold than the smallest vase?

4. suppose the diameter of each vase decreases by 2 cm. which vase would hold the most water?