Question

the trunk of a tree is cylindrical in shape and its circumference is 176cm . if the length of the trunk is 3m . find the volume of timber that can be obtained from the  trunk.

Answer 1

circumference of a cylinder = 2 π R  =  176 cm
Length of trunk = 3 meters = 300 cm

Radius of the cylindrical shape of the trunk of tree = R = 176 /2 π

   R = 28.01 cm

Volume of the tree trunk is =  Area of cross section * Length of the trunk

             =  π R² * L  = π * 28.01² * 300  cm³

           = 739497.52 cm³ 
           = 0.739 meter³

Answer 2

consider the radius of cylindrical tree's trunk = r cm
Given,
          circumference of trunk = 176 cm
$or, 2 \pi r=176$
$or, r = 176/2 \pi$
$or, r=176*7/44 = 28 cm$
$volume of timber = \pi r^{2} h= \frac{22}{7} . 28^{2} .300$
$volume=739200 cm^{3} =0.7392 m^{3}$