SOLUTION: An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm a
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Question 752527: An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1 cm and a height of 15.1 cm. A worker incorrectly measured the radius as 5 cm and the height of 15 cm. Determine the relative error in calculating the surface area, to the nearest thousandth.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
surface area equals two times the area of the base plus the lateral area.
area of the base = pi * r^2
lateral area = 2 * pi * r * h
total surface area = 2 * pi * r^2 + 2 * pi * r * h
desired measurements are radius of 5.1cm and height of 15.1 cm.
surface area with those measurements = 2 * pi * (5.1)^2 + 2 * pi * 5.1 * 15.1
this is equal to 647.2937503 square cm.
actual measurements are radius of 5 cm and height of 15 cm.
surface area with those measurements = 2 * pi * 5^2 + 2 * pi * 5 * 15
this is equal to 628.3185307
the difference from the desired amount is equal to 18.97521963 square cm.
the % difference from the desired amount is equal to 3.02%
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