Draw to scale the outline of two spherical cells, one a bacterium with a diameter of 1 μm, the other an animal cell with a diameter of 15 μm. Calculate the volume, surface area, and surface-to-volume ratio for each cell. how would the latter ratio change if you included the internal membranes of the cell in the calculation of surface area (assume internal membranes have 15 times the area of the plasma membrane)? (the volume of a sphere is given by 4πr3/3 and its surface by 4πr2, where r is its radius.) discuss the following hypothesis: “internal membranes allowed bigger cells to evolve.”

Biology (MindTap Course List)
11th Edition
ISBN:9781337392938
Author:Eldra Solomon, Charles Martin, Diana W. Martin, Linda R. Berg
Publisher:Eldra Solomon, Charles Martin, Diana W. Martin, Linda R. Berg
Chapter4: Organization Of The Cell
Section4.1: The Cell: Basic Unit Of Life
Problem 5C: Why is the relationship between surface area and volume of a cell important in determining cell size...
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Draw to scale the outline of two spherical cells, one a bacterium with a diameter of 1 μm, the other an animal cell with a diameter of 15 μm. Calculate the volume, surface area, and surface-to-volume ratio for each cell. how would the latter ratio change if you included the internal membranes of the cell in the calculation of surface area (assume internal membranes have 15 times the area of the plasma membrane)? (the volume of a sphere is given by 4πr3/3 and its surface by 4πr2, where r is its radius.) discuss the following hypothesis: “internal membranes allowed bigger cells to evolve.”

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