Question

The cylindrical end of a pencil is sharpened to produce a perfect cone at the end with no overall loss of length . If the diameter of the pencil is 1cm , and the cone is of length 2cm,calculate the volume of the shavings .

Answer 1

Answer:

The volume of the shavings will be the difference between the end of the pencil and the cone.

Step-by-step explanation:

Therefore,

 

VShavings = VPencil - VCone = πr2h - (πr2h)/3 = (3πr2h)/3 - (πr2h)/3 = (2πr2h)/3 = (2π(0.5cm)2(2cm))/3 = 1.0472cm3

 

*Note: r = radius, and the diameter is twice to radius. Thus, r = d/2 = 1cm/2 = 0.5cm

Answer 2

Step-by-step explanation:

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