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Question

A lead pencil consist of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7mm and 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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Solution

Diameter of pencil=7mm

r(graphite)=12mm=0.2cm

Volume of cylinder=πr2h

=(227×120×120×14)cm3

=(11×110×110)cm3

=0.11cm3

volume of wood =volume of pencil-volume of graphite

=πr2h0.11cm3

=22/7×(/72×110)(72×110)×140.11

=1120×49100.11

=5.390.11

=5.20cm3


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