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<u> volume determines how much cytoplasm a cell has</u>, 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:
For a parent mature cell, the surface is 50 µm²
For a budding cell, the surface is 28 µm²
Since the <u>surface determines how much plasma membrane a cell has</u>, 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.
I am pretty sure it is Nucleus because the definition of nucleus is "the central and most important part of an object, movement, or group, forming the basis for its activity and growth." I hope this helps! Sorry if I am wrong. but a tip is look up what the definitions are and compare to see which fits best:)