Question

a cylendrical pencil is sharpened to produce a sharpened cone at one end with no overall loss of length. if the diameter of the pencil is 1cm and the length of the conical portion is 2 cm. calculate the volume of shaving.

Answer 1

$$\begin{gathered} radius=\frac{1}{2}cm \\ h=2cm \\ Volumeofcone={\mathrm{\pi r}}^2\mathrm{h} \\ =3.14\times \left(\frac{1}{2}{)}^2\right(2)=1.57{\mathrm{cm}}^2 \end{gathered}$$