The height of the cylinder is 16, the radius is 10. Calculate the cross-sectional area of the cylinder

| May 5, 2021 | education

The height of the cylinder is 16, the radius is 10. Calculate the cross-sectional area of the cylinder by a plane parallel to the axis of the cylinder if the distance between this plane and the axis of the cylinder is 6.

We denote the height of the cylinder by the letter H, and the radius of the base by the letter R, and the distance from the section plane to the axis of the cylinder by the letter h.

The section of the cylinder will be a rectangle, one side of which is equal to the height of the cylinder H = 16.

The second side a is the base of the triangle, the two sides of which are equal to the radius R of the base of the cylinder and the height of this triangle is h = 6.

Find the base of this triangle:

(a / 2) ^ 2 = (10 ^ 2 – 6 ^ 2),

a / 2 = 8,

a = 16.

Thus, the cross-sectional area will be: 16 * 16 = 256.

Answer: 256.



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