A lead pencil consists of a cylinder of wood

Asked by admin @ 11/08/2021 in Math viewed by 166 People

"Question 7 A lead pencil consists of a cylinder of wood with solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the wood and that of the graphite.

Class 9 - Math - Surface Areas and Volumes Page 231"

Answered by admin @ 11/08/2021

VOLUME:

The space occupied by an object solid body
is called the volume of the particular object solid body volume is always
measured in cubic unit.

----------------------------------------------------------------------------------------------------

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

=========================================================

Hope this will help you...

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