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What is the longest line segment that can be drawn through the interior of this cylinder? r=4ft and h=3ft? Shape is a cylinder 

Guest Feb 1, 2018
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This seems tougher than it really is

 

The longest segment will be the hypotenuse of a right triangle with legs of 3 ft and  twice the radius =  8 ft....so....letting S be the segment length, we have that.....

 

S^2  =  3^2  +  8^2

 

S^2  =  9 +   64

 

S^2   = 73       take the positive square root of both sides

 

S  = √73 ft  ⇒  8.54 ft

 

 

 

cool cool cool

CPhill  Feb 1, 2018
edited by CPhill  Feb 2, 2018

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