A cylinder and a cone are of the same base radius and of the same height. The ratio of the volume of the cylinder to that of the cone is $\text{3 : 1}$.

Concept: A cone is a solid object with just a vertex and a circular base. A cylinder is a solid object with two circular or elliptical flat ends and one curved side.

$\frac{\text{ Volume of cylinder }}{\text{ Volume of cone }}=\frac{\pi r^{2}h}{\frac{1}{3}\pi r^{2}h}=1\times \frac{3}{1}=3$

If a cylinder and a cone are of the same base radius and of the same height, then the ratio of the volume of the cylinder to that of the cone is $\text{3 : 1}$.

Hence, the given statement is true.