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Cylinder cut from a cuboid

Middle school · ●●○○○ 20 pts

A cylinder of maximum volume is cut from a wooden cuboid of length 30 cm whose cross-section is a square of side 14 cm. Use π=227\pi = \frac{22}{7}. Find the volume of the cylinder (in cm³) and the volume of wood wasted (in cm³).

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volume of cylindervolume of a cuboid