1. **Problem Statement:** Find the height and diameter of an oblique circular cylinder given the axis length and the angle with the base plane. 2. **Given:** - Angle between axis and base plane $\theta = 45^\circ$ - Axis length $L = h \sqrt{2}$ where $h$ is the height (perpendicular distance between bases) 3. **Height Calculation:** From the relation: $$L = \frac{h}{\cos 45^\circ} = h \sqrt{2}$$ Rearranging to find $h$: $$h = \frac{L}{\sqrt{2}}$$ 4. **Diameter Calculation:** The diameter $d$ is twice the radius $r$ of the base: $$d = 2r$$ 5. **Summary:** - Height $h = \frac{L}{\sqrt{2}}$ - Diameter $d = 2r$ Without specific values for $L$ or $r$, these are the general formulas to find height and diameter.