Calculate the surface area and the volume

The formula for the volume of a cylinder is $V = \pi r^2 h$.

$$V = \pi (4 \text{ cm})^2 (10 \text{ cm})$$ $$V = \pi (16 \text{ cm}^2) (10 \text{ cm})$$ $$V = 160\pi \text{ cm}^3$$ $$V \approx 160 \times 3.14159 \text{ cm}^3$$ $$V \approx 502.65 \text{ cm}^3$$

The volume is $\boxed{\text{160}\pi \text{ cm}^3 \approx 502.65 \text{ cm}^3}$.

The formula for the total surface area of a cylinder is $A = 2\pi r h + 2\pi r^2$.

$$A = 2\pi (4 \text{ cm})(10 \text{ cm}) + 2\pi (4 \text{ cm})^2$$ $$A = 2\pi (40 \text{ cm}^2) + 2\pi (16 \text{ cm}^2)$$ $$A = 80\pi \text{ cm}^2 + 32\pi \text{ cm}^2$$ $$A = 112\pi \text{ cm}^2$$ $$A \approx 112 \times 3.14159 \text{ cm}^2$$ $$A \approx 351.86 \text{ cm}^2$$

The surface area is $\boxed{\text{112}\pi \text{ cm}^2 \approx 351.86 \text{ cm}^2}$.