Given that the height of a cylinder is 9.5 centimeters and that the diameter of this cylinder is 1.5 centimeters longer than the height, thus, the diameter of the cylinder is 9.5 + 1.5 = 11 cm and the radius of the cylinder is diameter / 2 = 11 / 2 = 5.5 cm.
The volume of the cylinder is given by
[tex]V=\pi r^2h \\ \\ =\pi(5.5)^2(9.5) \\ \\ =\pi(30.25)(9.5) \\ \\ =287.375\pi\approx902.8cm^3[/tex]