Ответ: Calculate the volume of the cylinder, shown on the picture. (The picture shows a cylinder.
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Calculate the volume of the cylinder, shown on the picture. (The picture shows a cylinder. A diagonal line from the top edge to the bottom base makes a $ 60^\circ $ angle with the bottom base. The vertical height from the top point of the diagonal to the bottom base is $ 12 $. This height is the cylinder's height.)
Где здесь ошибаются
Confusing sine and tangent: using sin(60°) = √3/2 to find radius as 12/(√3/2) = 8√3, leading to V = π(8√3)²·12 = 2304π (not an option).
Forgetting to square the radius: using V = πrh instead of πr²h, giving V = π·4√3·12 = 48√3π (not an option).
Miscalculating (4√3)² as 4·3 = 12 instead of 16·3 = 48, leading to V = π·12·12 = 144π (not an option).