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50 closed cylindrical cisterns with radius 4 cm and height 10 cm are to be produced. How many cm sq. of tin-sheet will be required to produce them? Find the cost of tin-sheet required at the rate of ₹220 per m sq. .
50 closed cylindrical cisterns with radius 4 cm and height 10 cm are to be produced. How many cm sq. of tin-sheet will be required to produce them? Find the cost of tin-sheet required at the rate of ₹220 per m sq. .
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This is a question on Surface area :
Surface area of a cylinder :
SA = 2πr² + 2πrh
SA of one cylinder :
SA = 2 × 3.142 × 4² + 2 × 3.142 × 4 × 10
= 351.904 cm²
We have 50 cylinders.
The total area required is thus :
50 × 351.904 = 17595.20 cm²
Convert this to m²
1 m² = 10000cm²
17595.20 / 10000 = 1.759520 m²
Cost:
1.759520 × 220 = 387.0944
= Rs 387.0944