Question

A lead of pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. the diameter of pencil is 7 mm and the diameter of graphite is 1 mm. if the length of a pencil is 14 cm find the volume of wood and that of Graphite​

Answer 1

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Answer is 0.11cm cube....

Answer 2

Step-by-step explanation:

Diameter of the pencil =7 mm

Radius of the pencil (R) = 7/2  mm

Diameter of the graphite cylinder = 1 mm

Radius of the graphite(r) = 1/2 mm

Height(h) = 14 cm = 140 mm

∴ Volume of a cylinder= πr²h

Volume of graphite cylinder = πr2h = 22/7 ×1/2 × 1/2 ×140

Volume of graphite = 110 mm³

 Also,

Volume of pencil = πR²h

= 22/7 ×7/2 × 7/2 ×140

= 490×11= 5390 mm²

Volume of pencil=5390 mm³

 Now,

 Volume of wood = Volume of pencil - Volume of graphite

 Volume of wood= 5390- 110= 5280 mm³

= 5280/1000

= 5.28 cm³

Volume of wood = 5.28 cm³

Hope it helps!