A factory manufactures 1,20,000 pencils daily. The pencils are cylindrical inshape., each of length 25cm and circumference 1.5cm. Determine the cost of colouring the curved surface of the penciles manufactured in one day at Rs0.05 per dm².

Answers (1)

One pencil -:

               $$ h = 25cm, and 2pi r = 1.5 $$\$$ then $$, r = frac1.52pi $$\$$

Curved surface area for one pencil

                                                   $$ = 2pi r h $$\$$ $$ = 2 pi (frac1.52pi) 	imes 25 $$\$$ $$ = 1.5 	imes 25 $$\$$ $$ = 37.5 cm^2 $$ \$$

a given rate of coloring

                                      $$ = Rs. 0.05/dm^2 = frac0.05100/ cm^2$$\$$

Cost of coloring   $$120000 $$\$$ pencils

                                                       $$120000 	imes Rs. frac0.05100 	imes37.5$$\$$ $$= Rs. 2250$$ \$$

Hence, the Cost of coloring the curved surface of the pencils  $$= Rs. 2250$$ \$$

 

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