Question

The circumference of the trunk of a tree, cylindrical in shape, is 44dm. find the volume of the timber obtained from the trunk, if the length of the trunk is 5m

Answer 1

given circumference of trunk in cylindrical shape = 44

2×22/7×r=44⇒r=7

volume of cylinder=22/7×r²×length

22/7×7²×5=770m³

Answer 2

Answer:

The volume of the trunk is 7.693 cubic meter.

Step-by-step explanation:

Given : The circumference of the trunk of a tree, cylindrical in shape, is 44 dm.

To find : The volume of the timber obtained from the trunk, if the length of the trunk is 5 m ?

Solution :

The circumference of trunk in cylindrical shape = 44  dm

Converting dm into m,

$44\ dm=4.4\ m$

The circumference is $C=2\pi r$

$4.4=2\times 3.14\times r$

$r=\frac{4.4}{2\times 3.14}$

$r=0.7$

The height is h=5 m

The volume of the cylinder is

$V=\pi r^2 h$

$V=3.14\times 0.7^2 \times 5$

$V=7.693\ m^3$

Therefore, the volume of the trunk is 7.693 cubic meter.