**The volume of a quarter is 808.53 mm ^{3}.** A quarter is a cylinder with a diameter of 24.26 mm and a thickness, or height, of 1.75 mm. The volume of a cylinder is found by taking the radius of the cylinder squared times the height of the cylinder times pi.

The volume of a quarter is found by taking the diameter and dividing by 2 to get the radius, which equals 12.13 mm. This value is then squared to get 147.14 mm^{2}. After that, the 147.14 is multiplied by the height and 3.14 as the approximation of pi to get 808.53.