Answer :

Answer: 1,178.1 cm³

Step-by-step explanation:

      We are asked to find the volume of the given oblique cylinder, also known as a slanted cylinder. The formula for the volume of an oblique cylinder is the same as a cylinder with sides perpendicular to its bases.

             [tex]\boxed{V=\pi r^2h}[/tex]

      Here, V is the volume, r is the radius, and h is the height.

             [tex]V=\pi r^2h[/tex]

             [tex]V=\pi (5\;cm)^2(15\;cm)[/tex]

             [tex]V=\pi (25\;cm^2)(15\;cm)[/tex]

             [tex]V=\pi (375\;cm^3)[/tex]

             [tex]V=1178.0972\;cm^3[/tex]

             [tex]V\approx1178.1\;cm^3[/tex]