A path 2m wide surrounds a circular pond of diameter 4cm. how many cubic meters of gravel are required to
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Answer:
52.8 m³ of gravel are required to grave the path of 20 cm.
Step-by-step explanation:
Given :
Diameter of the circular pond = 40 m
Radius of the pond , r = d/2 = 20m/2 = 10m
Thickness = 2m
Depth, h = 20 cm = 20/100 = 0.20 m
[1 cm = 1/100 m]
The circular path can be viewed as a hollow cylinder.
Thickness = External radius - Internal radius
Thickness = R - r
2 = R - 20
2 + 20 = R
R = 22 m
Volume of the hollow cylinder = π(R² - r²)×h
= π(22² −20² )× 0.20
= 22/7 ( 484 - 400) × 0.2
= 22/7 × 84 × 0.2
= 22 × 12 × 0.2
= 52.8 m³
Hence, 52.8 m³ of gravel are required to grave the path.
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