Solution:

Given length of the pencil, h = 14 cm

Diameter of the pencil = 7 mm

radius, R = 7/2 mm = 7/20 cm

Diameter of the graphite = 1 mm

Radius of graphite, r = ½ mm = 1/20cm

Volume of graphite = r²h

= (22/7)×(1/20)²×14

= 11/100

= 0.11 cm³

Hence the volume of the graphite is 0.11 cm³

Volume of the wood = (R²-r²)h

= (22/7)×[(7/20)²-(1/20)²]14

= (22/7)×[(49/400)-(1/400)]14

= (22/7)×(48/400)×14

= 11×12/25

= 5.28 cm³

Hence the volume of the wood is 5.28 cm³