What is the area of the axial section of the cylinder if the radius of the cylinder is 5 cm, and the generatrix is 7 cm
| August 6, 2021 | education
A cylinder is a geometric body based on the rotation of a rectangle around its side.
The axial section of a cylinder is a plane passing through the axis of rotation, that is, through the center of its bases. The axial section is a rectangle, the width of which is equal to the diameter of the cylinder, and the length is equal to its generatrix.
Therefore, the area of the axial section is calculated using the formula for the area of a rectangle:
S = a * b = D * L;
D = 2R;
D = 2 * 5 = 10 cm.
S = 10 * 7 = 70 cm2.
Answer: the area of the axial section of the cylinder is 70 cm2.
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