MathDB

In a circular tower with an internal diameter of

2

m, there is a spiral staircase with a height of

6

m. The height of each stair step is

0.15

m. In the horizontal projection, the steps form adjacent circular sections with an angle of

18^\circ

. The narrower ends of the steps are mounted in a round pillar with a diameter of

0.64

m, the axis of which coincides with the axis of the tower. Calculate the greatest length of a straight rod that can be moved up these stairs from the bottom to the top (do not take into account the thickness of the rod or the thickness of the boards from which the stairs are made).

6

Problems(1)