(Q6)A cylindrical pencil is sharpened to produce a perfect cone at one end with no overall loss of its length. The diameter of the pencil is 1 cm and the length of the conical portion is 2 cm. Calculate the volume of the shavings. Give your answer correct to two places if it is in decimal. [Use π=355/113]

Diameter of the pencil = 1 cm

So, radius of the pencil (r)=0.5 cm

Length of the conical portion = h = 2cm

Volume of peels = Volume of cylinder of length 2 cm and base - volume of the cone formed by this cylinder

= πr2h -
1
3
 πr2h =
2
3
 πr2h
=
2
3
 ×
× ( )2 × cm3 = cm3