document.write( "Question 249155: A cylinder has a radius of 3 cm and a height of 8 cm. What is the longest segment, in centimeters, that would fit inside the cylinder? \n" ); document.write( "
Algebra.Com's Answer #181542 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
What you have is a right triangle with a base=2*3=6cm & a height=8cm.
\n" ); document.write( "The longest segment would be the hypotenuse of this triangle thus.
\n" ); document.write( "a^2+b^2=c^2 [c being the hypotenuse)
\n" ); document.write( "6^2+8^2=c^2
\n" ); document.write( "36+64=c^2
\n" ); document.write( "100=c^2
\n" ); document.write( "c=sqrt100
\n" ); document.write( "c=10 ans. for the longest segment that would fit inside the cylinder.
\n" ); document.write( "
\n" );