Question

mple-13. 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 lcm and the length of the conical
portion is 2cm. Calculate the volume of the peels. Give your answer correct to two places
if it is in decimal
113
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Answer 1

Answer:

Step-by-step explanation:

Given:

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 lcm and the length of the conical portion is 2cm. Calculate the volume of the peels. Give your answer correct to two places  if it is in decimal  113

radius of the pencil = .5cm

the vol of cylinder is {{{pi*r^2*h}}}

and

the vol of a cone is: {{{(1/3)*pi*r^2*h}}}  

therefore

the vol of the shavings: {{{(2/3)*pi*r^2*h}}}

v = {{{(2/3)*pi*.5^2*2}}}

v = {{{(2/3)*pi*.25*2}}}

v = {{{(2/3)*1.5708}}}  

v = 1.047 cu/cm