Question

The cross-section of a beam is a square of side 1.4m. Its length is 10m. It is made into a
longest possible cylinder, Find its volume and wood wasted in making it,

Answer 1

Answer:

Volume of the cylinder = 15.4 m³

Volume of the wood wasted = 4.2 m³

Step-by-step explanation:

For the longest possible cylinder the diameter of the cylinder will be 1.4 m and height 10 m

Therefore radius of the cylinder $r=0.7$ m

The height of the cylinder $h=10$ m

The Volume of the cylinder is given by

$V=\pi r^2h$

$V=\frac{22}{7}\times (0.7)^2\times 10$

$\implies V=15.4$ m³

The volume of the beam

= Area of base × Height

$=1.4\times 1.4\times 10$

$=19.6$ m³

The volume of the wood wasted

$=19.6-15.4$ m³

$=4.2$ m³

Hope this helps.