pi r^2 h is used to determine the volume of a cylinder because when determing the area of a shape you first have to determine the area of the the base of the object and then multiply it by the height. The base of a cylinder is a circle and to find the area of a circle you use pi r^2 and hence the reason why pi r^2 is used to find the volume of the cylinder.
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Volume of any prism = area of base x height, so volume of a cylinder = 'pi' x r x r x h, where 'r' is the radius and 'h' is the height, and 'pi' is approximately 3.14.
Formula for the volume of a cylinder.
If the radius is r cm and the height is h cm, then Volume = pi*r^2*h cm^3 and Surface area = 2*pi*r(r+h) cm^2
Pi x r² x h
If you know the height and volume of the cylinder than you can find the radius. You also have to know the formula for volume 'V', which is pi multiplied by both the radius 'r 'squared and the height 'h', or V is equal to pi x r squared x h. The height h is equal to the volume divided by the radius squared and pi.