A right circular cone of maximum size, was carved out from a right circular cylinder (keeping the height and the radius as same as of the cylinder). The difference between the volumes of the cylinder and the conical structure was 4928 cm3. The respective ratio between the height and radius is 6 : 7. What is the height of the cylinder?

1
6 cm
2
18 cm
3
12 cm
4
35 cm
5
24 cm

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