⁦Check yourself⁩: ⁦polyhedra, solids of revolution, volumes⁩

⁦Multiple-choice tests with options A, B, C, D on the lateral area of a prism, a cylinder and a cone, and on the volume of a ball⁩.

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الدليل

⁦Topic from the Ukrainian Grade 11 textbook (algebra and calculus with geometry)⁩: ⁦the self-test tasks in test form and the⁩ "⁦Main points of the section⁩" ⁦recaps for section 4⁩ "Polyhedra", ⁦section 5⁩ "⁦Solids of revolution⁩" ⁦and section 6⁩ "⁦Volumes of solids⁩. ⁦Area of a sphere⁩". ⁦Each test has four options, A, B, C, D, and exactly one is right⁩.

⁦Main formulas⁩: ⁦the lateral area of a right prism is the perimeter of the base times the lateral edge, P · h; of a cylinder 2πrh; of a cone πrl; of a regular pyramid⁩ ½ ⁦P · a (a is the apothem)⁩. Volumes: ⁦prism V = Sh, pyramid V =⁩ ⅓⁦Sh, cylinder V = πr²h, cone V =⁩ ⅓⁦πr²h, ball V = ⁴⁩⁄⁦₃πR³; area of a sphere S = 4πR²⁩.

⁦It is best to solve each problem first and only then pick an option⁩. ⁦The child sees advice about the slip when they pick a wrong answer⁩.