The diagonal of the axial section of the cylinder is 5 cm, and the height of the cylinder is 3 cm. Find the radius of the base.
| April 4, 2021 | education
The axial section of the cylinder is a rectangle, the sides of which are the height of the cylinder and the diameter of the base. The diagonal of the axial section divides it into two equal right-angled triangles.
According to the Pythagorean theorem, the unknown leg, i.e. base diameter. d = 2r.
2r = √ (L² – h²) = √ (25 – 9) = √16 = 4 (cm) → r = 2 (cm).
Answer: the radius of the base is 2 cm.
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