SOLUTION: A circular cylinder is circumscribed about a right prism having a square base one meter on an edge. The volume of the cylinder is 6.283 cu.M. What is the altitude of the cylinder i

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Question 911532: A circular cylinder is circumscribed about a right prism having a square base one meter on an edge. The volume of the cylinder is 6.283 cu.M. What is the altitude of the cylinder in meters?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
From the top, it looks like this:
For the green right triangle, radius%5E2=%280.5m%29%5E2%2B%280.5m%29%5E2 .
So, radius%5E2=2%2A0.5%5E2m%5E2 ,
radius%5E2=2%2A0.25m%5E2 , and
radius%5E2=0.5m%5E2
The volume of a cylinder is calculated as pi%2Aradius%5E2%2Aheight .
In this case, with the height measured in meters and a volume of 6.283m%5E3 , it is
pi%2A0.5%2Aheight=6.283 , so
height=6.283%2F0.5%2Fpi=abouthighlight%284.00%29 (rounded)
The altitude of the cylinder in meters is highlight%284.00%29 .