The trunk of a tree os 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.
Answers
Given : The trunk of a tree is cylindrical and its circumference is 176 cm and the length of the trunk is 3 m.
Length of tank, h = 3 m = 300 cm
[ 1 m = 100 cm]
We know that, Circumference of circle = 2πr
Circumference of a cylindrical trunk of a tree, C = 176 cm
C = 2πr
2πr = 176
2 × 22/7 × r = 176
44r = 176 × 7
r = (176 × 7)/44
r = 4 × 7
r = 28 cm
Radius of a cylindrical trunk of a tree , r = 28 cm
Now,
∴ Volume of timber ,V = πr²h
V = 22/7 × 28² × 300
V = 22/7 × 28 × 28 × 300
V = 22 × 4 × 28 × 300
V = 739200 cm³
V = 739200/1000000 m³
[1 cm³ = 1/1000000]
V = 0.739 = 0.74 m³
Hence , the volume of the timber that can be obtained from the trunk is 0.74 m³.
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