## anonymous 5 years ago An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1cm and a height of 15.1cm. A worker incorrectly measured the radius as 5cm and the height as 15cm. Determine the relative error in calculating the surface area, to the nearest thousandth.

1. anonymous

The surface area of a cylinder is $2 \pi r^{2} + 2 \pi r h$ calculate the actual surface area and then subtract the incorrect surface area and that's the error. You can divide that total by the actual surface area to get a percent error relative to the correct surface area.

2. anonymous

let me know if you need help with the work

3. anonymous

thankyou ! and i got 34.10% is the correct ?

4. anonymous

that is too high i think. I got 2.931% we want thousanths place too. i have an area of 647.294 for the correct one and 628.319 for the incorrect

5. anonymous

ohhhhhhh, i got itt now. lol thankyou so much !

6. anonymous

An oil company distributes oil in a metal can shaped like a cylinder that has an actual radius of 5.1cm and a height of 15.1cm. A worker incorrectly measured the radius as 5cm and the height as 15cm. Determine the relative error in calculating the surface area, to the nearest thousandth.