Find the diagonal of the axial section of the cylinder if the radius of the cylinder is 1.5m and the height is 4m.
| January 27, 2021 | education
The height of the cylinder is h = 4 m. The base radius is R = 1.5 m. It is necessary to find the length of the ВD diagonal.
Consider the СВD triangle: the angle C is 90 ° (since the section of the AВСD is perpendicular to the base of the cylinder), BC is the height of the cylinder, BC = 4 m.
СD is the diameter of the base, СD = 2R = 2 * 1.5 = 3 m.
By the Pythagorean theorem: ВD = √ (BC² + SD²) = √ (4² + 3²) = √ (16 + 9) = √25 = 5 m.
Answer: the diagonal of the axial section of the cylinder is 5 m.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
