​​​​​​Your mom’s birthday is in a few weeks and you 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 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. #1 Find the volume of all 3
#2 Which one has the largest volume
#3 How many times larger is the volume of the cylindrical vase to the conical vase? (2 decimal places)
#4 The vase company designs a new vase that is shaped like a cylinder on bottom and a cone on top. The catalog states that the width of the vase is 12 cm, and the total height is x cm. What would the height of the cylinder part have to be for the total volume to be 3,843.86 cm