1. The problem asks for the formula for the volume of a cylinder. 2. The volume $V$ of a cylinder is calculated by multiplying the area of its circular base by its height. 3. The area $A$ of the base is given by the formula for the area of a circle: $$A = \pi r^2$$ where $r$ is the radius of the base. 4. The height of the cylinder is $h$. 5. Therefore, the volume formula is: $$V = A \times h = \pi r^2 h$$ 6. This formula has two sides: the left side is $V$ representing volume, and the right side is the expression $\pi r^2 h$. 7. In plain language, to find the volume of a cylinder, you square the radius of the base, multiply by $\pi$, then multiply by the height. 8. This formula works for any cylinder where you know the radius and height. Final answer: $$V = \pi r^2 h$$