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**+2 **

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

CPhill
Feb 1, 2018