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A typicalhuman cell is approximately 10 mm in diameter and enclosed bya membrane that is 5.0 nm thick. (a) What is the volume of thecell? (b) What is the volume of the cell membrane? (c) What percentof the cell volume does its membrane occupy? To simplify thecalculations, model the cell as a sphere.

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15 Jun 2019
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Volume and Surface Area

The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter.

(a) Use differentials to approximate the possible propagated error in computing the volume of the sphere.

(b) Use differentials to approximate the possible propagated error in computing the surface area of the sphere.

(c) Approximate the percent errors in parts (a) and (b).

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