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

1+0 Answers


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

6 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details