Question

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

Answer 1

Circumference of a cylindrical trunk of a tree = 176 cm

$\therefore Radius=\frac{Circumference}{2\pi }$

$=\frac{176\times 7}{2\times 22}$= 28 cm

Length of trunk (h) = 3 m

$\therefore$ Volume of the timber = $\pi r^2$ h

=$\frac{22}{7}\times \frac{28}{100}\times \frac{28}{100}\times 3m^3$ =$\frac{7392}{10000}{m}^3$

= 0.7392 $m^3=0.74m^3$