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

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) (Show Source): You can put this solution on YOUR website!
From the top, it looks like this:
For the green right triangle, .
So, ,

, and

The volume of a cylinder is calculated as .
In this case, with the height measured in meters and a volume of , it is
, so

(rounded)
The altitude of the cylinder in meters is .
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