A sphere is centered at the origin of the 'x''y''z'-plane. Only the part of the sphere in the positive quadrant is shown. That is, the quadrant where 'x', 'y', and 'z' are all positive. A sphere is centered at the origin of the 'x''y''z'-plane. Only the part of the sphere in the positive quadrant is shown. That is, the quadrant where 'x', 'y', and 'z' are all positive. A sphere of radius 222 inches is cut by three planes passing through its center. This partitions the solid into 888 equal parts, one of which is shown above. The volume of each part is t\pitπt, pi cubic inches. What is the value of ttt?