The diameter of a ruler is 3 cm and its length is 42 cm. The volume of wood required to make the ruler is
Answers
The volume of wood required to make the ruler is equal to 296.73 cm³.
Given:
Diameter of the ruler = 3 cm
Length of the ruler = 42 cm
To Find:
The volume of the wood required to make the ruler.
Solution:
→ The volume (V) of a cylinder is given by the formula: V = πr²h
The volume of the cylinder (V) = πr²h
where 'r' is equal to the radius of the cylinder.
'h' is equal to the height of the cylinder.
→ In the given question, the volume of the wood required to make the ruler would be equal to the volume of the cylindrical ruler.
∵ The diameter of the ruler (d) = 3 cm
∴ The radius of the ruler (r) = 1.5 cm
Length of the ruler (L) = 42 cm
→ The height of the cylindrical ruler would be equal to its length.
∴ The volume of the cylindrical ruler (V) = πr²L
∴ V = πr²L
∴ V = (3.14) (1.5)² (42)
∴ V = 296.73 cm³
The volume of the cylindrical ruler comes out to be equal to 296.73 cm³.
Therefore the volume of the wood required to make the ruler is equal to 296.73 cm³.
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