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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]