# The trunk of a tree is cylindrical and its circumference is 176 cm.

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) $0.7392 \mathrm{~m}^{3}$