Question

", we'll fled that the strne rutค oming explains ine other phenonsena like why cats usually survive long Ealls, why elephants bave extra why hippo, hrve to spenda lot of time in the water (Now і.. nod timeto addrnt tha question, because we'll use some of the mathensatical modeling ideas that came up in our study of acceleration a A itle biology first A cell needs oxygen, which it takes in through its surface, Oxygen diffuses into the cel at a rate proportional to the surface area of the celi. The rate at which a celi uses oxygen propertional to its volume So let's reason out what happens as a cel gets bigger and bigger, like these spherical cells with diameters of D 20, and 2D I. Calculate the surface area of each the cel enter 6. Dia ce area in terms of the surface area of a sphere of diameter D. For example, if it's 6 times more, ameter D Surface area A Surface area in terms of surface area of sphere of diameter D 2D, 3D, 2. So for a cell of double the size (diameter), what can you say about the cell's capacity to take in oxygen? (it increases by a factor of) And for a cell of triple the size, the cell's capacity to take in oxygen increases by a factor of Note: As the formula for the surface area of a sphere suggests, and your calculations support, we can say in general that the surface area of a sphere increases as the square of the size (diameter).

Answer 1