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Q.
A largest possible right-circular cylinder is cut out from
a wooden cube of edge 7 cm. Find the volume of the
wood left over after cutting the cylinder. (in cu cm)
Mensuration
Solution:
Diameter of the cylinder $=7 \,cm$.
$\therefore$ Radius of the cylinder $=3.5\, cm$.
Height of the cylinder $=7 \,cm$.
Volume of cube $=7^3=343 \,cm ^3$.
Volume of the cylinder $\Rightarrow \pi r^2 h=\frac{22}{7} \times 3.5 \times 3.5$
$\times 7=269.5 \,cm ^3$
$\therefore$ The required volume $=343-269.5=73.5\, cm ^3$.