Radius of the base of a cylinder

Geometry Level 3

The volumes of a cone trunk, a 5 cm radius sphere and a tall cylinder 11 cm in this order form an arithmetic progression. The cone trunk is obtained by rotating a trapezius rectangle, 4 cm high and bases measuring 5 cm and 9 cm, around a straight line measure. So the radius of the cylinder base is, in cm, equal to

2 s q r t 10 2sqrt{10} 2 3 2\sqrt{3}

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