G bone is an anisotropic tissue that supports higher loads in the longitudinal direction, due to the high level of organization of collagen and hydroxyapatite. the elastic modulus of a femur was found to be 40 gpa when measured in the longitudinal direction, and can be modeled as a composite with continuous oriented fibers. the volume fraction of the hydroxyapatite inclusions is 50%. the moduli of the inclusions and matrix are 79 gpa and 1 gpa respectively. the femur has a radius of 3 cm. determine the necessary radius of bone with entirely isotropic mechanical properties (i. e. inclusions are random particles now). in both cases, bone should not exceed a strain of 1%