SOLUTION: A cube has a volume of 343 cubic centimeter,what volume of the cube must be curved off to make the largest cylinder possible?

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Question 1074173: A cube has a volume of 343 cubic centimeter,what volume of the cube must be curved off to make the largest cylinder possible?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A cube has a volume of 343 cubic centimeter, what volume of the cube must be curved off to make the largest cylinder possible?
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Find the length of the side of a cube with a vol of 343 cu/cm
Find the cube root of 343
s+=+3sqrt%28343%29
s = 7 cm
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From this we know the height of the cylinder will be 7 cm and the diameter of the cylinder will also be 7 cm. Therefore the radius will be 3.5 cm
let v = the volume to be carved off
v+=+343+-+%28pi%2A3.5%5E2%2A7%29
v = 343 - 269.4
v = 73.6 cu/cm to be carved off