Question:
The trunk of a tree is cylindrical and its circumference is 176 cm. If the length of the tree is 3 m. Find the volume of the timber that can be obtained from the trunk.
Solution:
We know that, circumference = 2πr
⟹ 176 = 2πr
⟹ r = 176/2π
$\Rightarrow r=\frac{176 * 7}{2 * 22}$
⟹ r = 28 cm
Here, height (h) = 3 m = 300 cm
Volume of timber $=\mathrm{r}^{2}$ * $\mathrm{h}$
= 22/7 * 28 * 28 * 300
$=44 * 8400=739200 \mathrm{~cm}^{3}$ (or) $0.7392 \mathrm{~m}^{3}$