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?
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