Oblique cylinder and cone

Draw an oblique cone of radius 3 u, height 8 u and axis inclined 65° to the PH. The bases are perpendicular to the axis.

Step-by-step solution

The base is a circle in a plane perpendicular to the axis; being inclined, it looks like an ellipse in both views.
The apparent outline is drawn tangent to the two bases (cylinder) or from the apex to the base (cone).
The generators join corresponding points of the two bases and are no longer vertical.
Check that the axis passes through the centres of the bases and the height is measured along the axis.

Result: oblique cone: radius 3 u, height 8 u, axis at 65° to the PH; volume 74.54 u³.

If the bases are perpendicular to the axis, tilting it makes them stop looking like circles: they become ellipses.