Question

If a metallic cylinder of radius $1\mathrm{m}$ and height $1.4\mathrm{m}$ is melted and recast into cube. The no. of cube if one cube has it edge $110\mathrm{cm}$

• A. 162
• B. 216
• C. 126
• D. None of these

Answer 1

Answer: (A)

Radius of cylinder $=7\mathrm{m}$
Height of the cylinder $=1.4\mathrm{cm}$
Volume of the cylinder $=\pi r^{2}h$
Edge of the cube $=110\mathrm{cm}$
$=1.10\mathrm{m}$
$\text{ No. of cube }=\frac{\text{ Volume of the cylinder }}{\text{ Volume of cube }}$
$=\frac{\frac{22}{7}\times 7\times 7\times 1.4}{40\times 1.10\times 1.10}=\text{ app }=162$