SOLUTION: the height of water in a cylinder of radius 14cm is 20 cm. the water transferred into a rectangular prism of length 30 cm, width 22 cm and height 50 cm. find the height of water le

Algebra ->  Volume -> SOLUTION: the height of water in a cylinder of radius 14cm is 20 cm. the water transferred into a rectangular prism of length 30 cm, width 22 cm and height 50 cm. find the height of water le      Log On


   

Question 780981: the height of water in a cylinder of radius 14cm is 20 cm. the water transferred into a rectangular prism of length 30 cm, width 22 cm and height 50 cm. find the height of water level in the rectangular prism. how many more liters of water are needed to fill the rectangular prism.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the height of water in a cylinder of radius 14cm is 20 cm. the water transferred into a rectangular prism of length 30 cm, width 22 cm and height 50 cm.
find the height of water level in the rectangular prism.
:
Find the volume of the water in the cylinder
v = pi%2A14%5E2%2A20
v = 12315 cu/cm
:
Find the height of this amt of water in the rectangular prism
12315%2F%2830%2A22%29 = 18.66 cm high
Find the height of the empty area above the water
50 - 18.66 = 31.34 cm
Find the volume of this area
30*22*31.34 = 20685 cu/cm
convert this volume to liters
20685 * .001 = 20.685 liters to fill the prism