Question

The trunk of a tree is cylindrical, and its circumference is $176cm$. If the length of the trunk is $3m$. Find the volume of the timber that can be obtained from the trunk.

Answer 1

Given: circumference of trunk of tree is $176cm$ and length $\left(h\right)=3m$.

Let, the radius of the cylindrical trunk be $r$.
$\therefore 2\pi r=176$
$\Rightarrow 2\times \frac{22}{7}\times r=176$
$\Rightarrow r=28cm$

Now, Volume of the timber $=\pi r^{2}h$
$=(\frac{22}{7}\times \frac{28}{100}\times \frac{28}{100}\times 3)m^3$
$=0.74m^3$

Hence, volume of the timber is $0.74m^3$.