Task: Question Answering
Input (English): Problem: the dimensions of a rectangular solid are 4 inches, 5 inches, and 12 inches. if a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?
Options: a. 10: 17, b. 2: 5, c. 5: 16, d. 25: 7, e. 10: 21
Output (English): e