1. The problem is to find the volume of a cylinder with height $h=10$ units and radius $r=4$ units. 2. The formula for the volume of a cylinder is $$V=\pi r^{2}h$$ where $r$ is the radius and $h$ is the height. 3. Substitute the given values into the formula: $$V=\pi \times 4^{2} \times 10$$ 4. Calculate the radius squared: $$4^{2}=16$$ 5. Multiply by height: $$16 \times 10=160$$ 6. So the volume is: $$V=160\pi$$ units³ (exact answer in terms of $\pi$). 7. If using $\pi \approx 3.14$, then: $$V=160 \times 3.14=502.4$$ units³ (approximate numerical answer).