A lead pencil consists of a …
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A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7mm and the diameter of the graphite is 1mm. If the length of the pencil is 14cm, find the volume of the wood and that of the graphite.
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Gaurav Seth 4 years, 2 months ago
Solution:
Given:
Diameter of the pencil =7mm
Radius of the pencil (R) = 7/2mm
Diameter of the graphite cylinder =1mm
Radius of the graphite(r) = 1/2mm
Height(h)=14cm= 140mm
[1cm= 10 mm]
Volume of a cylinder= πr²h
Volume of graphite cylinder = πr2h = 22/7 ×1/2 × 1/2 ×140
Volume of graphite = 110 mm³
Volume of pencil = πR²h
= 22/7 ×7/2 × 7/2 ×140
= 490×11= 5390 mm²
Volume of pencil=5390mm³
Volume of wood = Volume of pencil - Volume of graphite
Volume of wood= 5390- 110= 5280 mm³
= 5280/1000= 5.28 cm³
[1mm³= 1/1000cm³]
Volume of wood = 5.28 cm³
Or
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