Parallel to the axis of the cylinder, the base radius of which is 8 cm, and the generatrix is 12 cm, a section is drawn.
| May 1, 2021 | education
Parallel to the axis of the cylinder, the base radius of which is 8 cm, and the generatrix is 12 cm, a section is drawn. The diagonal of the section is 20 cm. Find the distance from the axis of the cylinder to the section plane.
The section parallel to the axis of the cylinder is the KMPE rectangle, whose height is equal to the height of the cylinder.
In a right-angled triangle KME, according to the Pythagorean theorem, we determine the length of the leg KE.
KE ^ 2 = ME ^ 2 – MK ^ 2 = 400 – 144 = 256.
KE = 16 cm.
Since the distance KE = 16 = 2 * R = 2 * 8, the section passes through the axis of symmetry of the cylinder and is the axial section, then the distance OH = 0.
Answer: From the axis of the cylinder to the section of 0 cm.
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