Question 249155
What you have is a right triangle with a base=2*3=6cm & a height=8cm.
The longest segment would be the hypotenuse of this triangle thus.
a^2+b^2=c^2 [c being the hypotenuse)
6^2+8^2=c^2
36+64=c^2
100=c^2
c=sqrt100
c=10 ans. for the longest segment that would fit inside the cylinder.