SOLUTION: a cone shaped water cup has an altitude of 10 cm and a radius at the top of 4 cm. The cup is filled with water and then poured into an empty cylinder that has an altitude of 32 cm

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Question 1080282: a cone shaped water cup has an altitude of 10 cm and a radius at the top of 4 cm. The cup is filled with water and then poured into an empty cylinder that has an altitude of 32 cm and a radius of 3 cm. What is the depth of the water in the cylinder?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a cone shaped water cup has an altitude of 10 cm and a radius at the top of 4 cm. The cup is filled with water and then poured into an empty cylinder that has an altitude of 32 cm and a radius of 3 cm. What is the depth of the water in the cylinder?
:
find the volume of the water in the cone
V+=+%281%2F3%29pi%2A4%5E2%2A10
V = 167.55 cu/cm
:
let h = the height of the water in the cylinder
pi%2A3%5E2%2Ah = 167.55
28.27h = 167.55
h = 167.55%2F28.27
h = 5.9 cm is the depth of the water
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Note: the altitude of the cylinder is not involved.