Question

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)

• A. 73.5
• B. 82.5
• C. 76
• D. 92

Answer 1

Answer: (A)

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 $=343-269.5=73.5\, cm ^3$.