A closed metallic cylindrical box is 1.25 m high and it has a base whose radius is 35 cm. If the sheet of metal costs ₹80 per sq. m ,then find the cost of the material used in the box. Also, find the capacity of the box in litres.
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Given,
height of cylinder = h = 1.25 m = 125 cm,
radius of the base = r = 35 cm
As the qty of metal sheet used to make the cylinder = total surface area of the cylinder.
But total surface area of closed metalic cylinder = 2∗Π∗r∗(r+h)
Total surface area = 2 * (22/7) * 35 * (35 +125) = 44 * 5 * 160 = 35200 cm^2.
Therefore Total surface area = 35200 / (100*100) m2= 3.52 m^2
Given that cost of material = Rs. 80 / m^2.
Therefore total cost of material used = 80 * 3.52 = Rs. 281.60
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