Question

A cylindrical pencil is sharpened to produce a perfect cone at one end with no over all 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 peels. Give your answer correct to two places if it is in decimal.
355
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Answer 1

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Answer 2

The volume of the peels is 1.05 cm³.

Step-by-step explanation:

Consider the provided information.

The diameter of the pencil is 1 cm and the length of the conical portion is 2 cm.

The radius of the pencil is $\frac{1}{2}$ cm = 0.5 cm.

Volume of peels = Volume of cylindrical pencil - Volume of conical portion

$\text{Volume of peels} =\pi r^2h-\frac{1}{3}\pi r^2 h$

Substitute r=0.5 and h = 2 in above formula.

$\text{Volume of peels} =\frac{22}{7}\times 0.5^2\times2-\frac{1}{3}\times\frac{22}{7} \times0.5^2\times2$

$\text{Volume of peels} =1.5714-0.5238$

$\text{Volume of peels} =1.047\approx1.05$

Hence, the volume of the peels is 1.05 cm³.

#Learn more

A powder is available in two packs, a tin can  with a square base of each side 9 cm and height  12 cm and one with circular base of radius 3.5  cm and height 10cm. Which of them have greater  capacity and by how much?​

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