Question

Use the scale bar to determine the sizes of a mature parent yeast cell and a cell budding from it. You will then calculate the volume and surface area of each cell. You will use your calculations to determine how much cytoplasm and plasma membrane the new cell needs to synthesize to grow to full size.

Answer 1

Answer: A mature parent cell is approximately 4 µm, while a budding cell is 3 µm. Since the shape of a yeast is a sphere, we can use the formula below:

V= (4/3)π.r³, considering that π=3,14 and r is for ratio of the sphere, which is half of it's diameter.

For a parent cell, the volume is: 33 µm³

For a budding cell, the volume is: 14 µm³

Since the volume determines how much cytoplasm a cell has, then a budding cell needs to grow the mature parent cell - its own current volume, so the result would be 19 µm³ of cytoplasm.

To calculate the surface area, we use another formula that is presented below:

A= 4.π.r²

For a parent mature cell, the surface is 50 µm²

For a budding cell, the surface is 28 µm²

Since the surface determines how much plasma membrane a cell has, to know how much the budding cell needs to grow up to a mature state is simply using the surface area of the parent cell - the current surface area of it, resulting in 22  µm².