a) If an E. Coli bacteria has a length of L = 2.20m from tip to...

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a) If an E. Coli bacteria has a length of L = 2.20m from tip to tip and has a cylindrical diameter d of 0.40 m (as shown), what are the surface area and volume of the bacteria if it is shaped as a cylinder with hemispherical ends? (4) (Hint: Note that the flat, circular ends normally present on a cylinder have been replaced by the hemispherical ends, so do not include the area of the flat circular ends in your surface area calculation). b) Find the surface area to volume ratio of the E. Coli, defined as S.A.. The reason for the 2/3 power on the volume is to reduce this ratio to a dimensionless (unitless) quantity; if it was not present, the dimensions would be L-1, which would result in the number changing based on the units used. (2) V 2/3 c) Recall that a high ratio is good for the organism; it ensures that it has enough surface area to maintain its volume. If the bacteria was spherical instead of rod-shaped, but with the same volume as that found in part a), find the S.A. to V ratio as defined above. Comparing your two results for the ratios will help you understand one of the reasons why the bacteria has evolved as rod-shaped. (4) a) If an E. Coli bacteria has a length of L = 2.20m from tip to tip and has a cylindrical diameter d of 0.40 m (as shown), what are the surface area and volume of the bacteria if it is shaped as a cylinder with hemispherical ends? (4) (Hint: Note that the flat, circular ends normally present on a cylinder have been replaced by the hemispherical ends, so do not include the area of the flat circular ends in your surface area calculation). b) Find the surface area to volume ratio of the E. Coli, defined as S.A.. The reason for the 2/3 power on the volume is to reduce this ratio to a dimensionless (unitless) quantity; if it was not present, the dimensions would be L-1, which would result in the number changing based on the units used. (2) V 2/3 c) Recall that a high ratio is good for the organism; it ensures that it has enough surface area to maintain its volume. If the bacteria was spherical instead of rod-shaped, but with the same volume as that found in part a), find the S.A. to V ratio as defined above. Comparing your two results for the ratios will help you understand one of the reasons why the bacteria has evolved as rod-shaped. (4)

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The image contains a threepart question about calculating the surface area and volume of an E coli bacterium modeled as a cylindrical shape with hemispherical ends and analyzing the surface area to vo... View the full answer