. 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 coloring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.
Best Answer
Explanation :
We are given that the shape of the pencils = cylindrical
Each pencil is of length = 25 cm
Each pencil has a base with circumference = 1.5 cm
Circumference of circle = 2πr
⇒r=1.5×7/22×2=0.2386cm
Now, each pencil has a curved surface area (CSA) = 2πrh
⇒2×22/7× 0.2386×25
⇒262.46/7=37.49cm2
We know that 1cm=1/10dm
⇒37.49cm2=37.49/100dm2
⇒0.375dm2
Now, the CSA of 120000 pencils = 0.375× 120000=45000dm2
According to the question, we are given that the cost of coloring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2
Therefore, the cost of coloring 45000 dm2=45000×0.05=2250 rupees
Final Answer:
the cost of coloring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2 = 2250 rupees
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