Cube, cuboid, and sphere

Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. In what ratio are the volumes of cube, cuboid, and sphere?

Result

x = (Correct answer is: 9/6:2) Wrong answer

Solution:

c:p=3:2 s:p=1:3  c:p=3:2 p:s=3:1  c:p=9:6 p:s=6:2  x=c:p:s  x=9:6:2c:p=3:2 \ \\ s : p=1:3 \ \\ \ \\ c:p=3:2 \ \\ p:s=3:1 \ \\ \ \\ c:p=9:6 \ \\ p:s=6:2 \ \\ \ \\ x=c:p:s \ \\ \ \\ x=9:6:2

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