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

1.	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» We have, Length of the trunk = 3m = 300 cm Circumference of trunk of tree = 176 cm 2πr = 176 2 × 22/7 × r = 176 r = 176×7 / 2×22 = 28cm Radius = 28cm ∴ Volume of timber can be obtained from trunk of tree = πr²h = 22/7 × 28 × 28 × 300 = 7392 cm³ = 0.74 m³

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»

We have,

Length of the trunk = 3m = 300 cm

Circumference of trunk of tree = 176 cm

2πr = 176

2 × 22/7 × r = 176

r = 176×7 / 2×22

= 28cm

Radius = 28cm

∴ Volume of timber can be obtained from trunk of tree = πr²h

= 22/7 × 28 × 28 × 300

= 7392 cm³

= 0.74 m³