⁦The cylinder and the cone⁩: ⁦bases and net⁩

⁦Find the bases of a cylinder and a cone and work out the lateral area of a cylinder from its net⁩.

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الدليل

⁦This follows the Ukrainian Year 6 book, part 2⁩: ⁦item 25⁩ "Cylinder. Cone. Sphere". ⁦The cylinder and the cone are solids of revolution⁩: ⁦a cylinder comes from turning a rectangle about one side, a cone from turning a right triangle about a leg⁩. ⁦The child turns the solid, taps its parts and unfolds the cylinder⁩.

⁦A cylinder has two equal bases, which are circles, and a lateral surface; the distance between the bases is the height⁩. ⁦The net of a cylinder is a rectangle and two circles⁩. ⁦One side of the rectangle is the circumference 2πr, the other is the height h, so the lateral area S = 2πrh⁩. ⁦A cone has one base, a circle, and a lateral surface; it has an apex, a height and a slant height⁩. ⁦Here π = 3.14⁩.

⁦The sphere and ball are not built as exercises here, but the lesson explains them⁩.