please show all your work!

Amanda and Riley are on the haunted mansion ride where there is a new spooky ghost on the ride. .-\\ spherical ghost head is trapped inside a cube with the sphere touching; the. sides of the enhe as shown. .\\s they ride by hath the cube and sphere expand and stay touching; where j: = J; . [low last is the volume between the sphere and the cube changing; when the volume of the cube is ioool't "