Question 1031919
That slanted line could be part of a cross section through the middle of the cylinder.  One may imagine or GUESS from your description that you may have a rectangular cross section and the slanted SEGMENT  (NOT a line) is a diagonal of the rectangle.  One would then draw or imagine the rectangle split into two right triangles.  


Let y be the length of one leg, and take 6 as the other leg.
{{{y^2+6^2=10^2}}}



Solve for y, and then use formula for volume of a cylinder to calculate and evaluate the volume.