a closed metallic cylinder box is 1.25 m high and its base whose radius is 35cm if the sheet of metal costs rs.80 per m^2 then find the cost 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 cm = 125 cm
Radius of the base = r = 35 cm
As the quantity of metal sheet used to make the cylinder = total surface area of cylinder.
But total surface area of closed cylinder = 2 x pi x r x (r + h)
Total surface area = 2 x (22/7) x 35 x (35 + 125) = 44 x 5 x 160 = 35200 cm2
therefore, the total surface = 35200 / (100 x 100) m2 = 3.52 cm2
Given that the cost of material = Rs. 80 / m2
therefore the total cost of material used = 80 x 3.52 = Rs. 281.60 as your answer
Radius of the base = r = 35 cm
As the quantity of metal sheet used to make the cylinder = total surface area of cylinder.
But total surface area of closed cylinder = 2 x pi x r x (r + h)
Total surface area = 2 x (22/7) x 35 x (35 + 125) = 44 x 5 x 160 = 35200 cm2
therefore, the total surface = 35200 / (100 x 100) m2 = 3.52 cm2
Given that the cost of material = Rs. 80 / m2
therefore the total cost of material used = 80 x 3.52 = Rs. 281.60 as your answer
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