Q. 85.0( 2 Votes )

A lead pencil is

Answer :

GIVEN :


inner diameter of the cylinder of lead “r” = 1mm = 0.1cm


height of the pencil “h” = 28cm


outer radius of the pencil “R” = 3mm = 0.3cm


we take π =


TO FIND : volume of the wood used in the pencil “V” = ?


PROCEDURE :


Here, we will use the concept of hollow cylinder.


So, volume of the wood used in the pencil,


“V” = π × h× (R + r )× (R – r)


So, we put all the values in the above formula, and get


V = × 28 × (0.3 + 0.1)× (0.3 - 0.1)


= 22 × 4 × (0.4)× (0.2)


= 22 × 4 × 4 × 2 × 10-2


= 704 × 10-2


= 7.04 cm3


volume of the wood used in the pencil is 7.04 cm3


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