The height and radius of the base of the cylinder are respectively equal to 9 and 6.
| April 29, 2021 | education
The height and radius of the base of the cylinder are respectively equal to 9 and 6. The ends of the segment AB with a length of √113 lie on the circumferences of the upper and lower bases. Find the distance from the axis of the cylinder to the line segment AB.
Let us construct generators AC and BD on points A and B lying on the circles of the bases. Since the generatrices are parallel to the axis, the ADBC plane built on the generatrices will be parallel to the axis. Line AB will belong to this plane, because two of its points belong to this plane: A and B.
Answer: the distance from the axis to AB is equal to 2√7.
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