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Question

A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.

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Solution

Given, pencils are cylindrical in shape.
Length of one pencil= 25 cm.
And, circumference of base = 1.5 cm
(Circumference of circle=2πr)
r=1.5×722×2=0.2386 cm
Now, curved surface area of one pencil =2πrh
=2×227×0.2386×25

=262.467=37.49 cm2=37.49100dm2 [1cm=110 dm]=0.375 dm2
Curved surface area of 120000 pencils =0.375×120000=45000 dm2
Now, cost of colouring 1 dm2 curved surface of the pencils manufactured in one day =Rs. 0.05
Cost if colouring 45000 dm2 =45000×0.05=Rs. 2250


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