A fictitious metallic element forms a simple cubic unit cell. One atom of this fictitious element has a mass of 1.33 x 10^{-22}g. An X-ray diffraction experiment performed on a crystal of this element used X-rays with a wavelength of 1.54 Å. Reflected X-rays from the second crystal plane of this element are detected at an angle of 38.0°. Determine the radius (cm) of one atom of this element and the elemental density (g/cm^3).