A factory manufactures cylindrical storage tanks made of steel who's top and bottom are closed in batches. The curved surface area and the height of each tank is 22000 cm sq and 100 cm respectively. If each batch contains a dozen of storage tanks and cost of steel sheets used in manufacturing is ₹18 per square centimetre, how much would it cost to manufacture a batch?
Answers
Given : A factory manufactures cylindrical storage tanks made of steel who's top and bottom are closed in batches. The curved surface area and the height of each tank is 22000 cm sq and 100 cm respectively
each batch contains a dozen of storage tanks and cost of steel sheets used in manufacturing is ₹18 per square centimetre
To Find : how much would it cost to manufacture a batch
Solution:
CSA = 2πrh
CSA = 22000 cm²
h = 100 cm
π = 22/7
=> 2 (22/7)*r * 100 = 22000
=> r = 35 cm
Area on both sides = 2 (πr²)
= 2 (22/7) 35²
= 7700 cm²
Total Area = 22000 + 7700 = 29700 cm²
each batch contains a dozen of storage tanks
Total Area = 12 * 29700
Cost 18 Rs/cm² cm²
Cost to manufacture a batch = 18 * 12 * 29700
= 64,15,200 Rs
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