Question

A metal cylinder of length $\frac{343}{22}$ m and radius 7m is melted and reconstructed into 7 identical cubical blocks. Find the volume of each block.

• A. 900 $m^3$
• B. 1000 $m^3$
• C. 300 $m^3$
• D. 343 $m^3$

Answer 1

The correct option is D

343 $m^3$

Given: Radius of cylinder (r) = 7 m, length of the cylinder (h) = $\frac{343}{22}$ m

Let the side of each cube be 'a' m

Volume of the cylinder = 7 $\times$ Volume of each cube.

Hence, $\pi r^{2}h=7\times a^3$

$\frac{22}{7}\times 7\times 7\times \frac{343}{22}=7\times a^3$

$a^3=343$ $m^3$

Hence , the Volume of each block = 343 $m^3$