Compared with a smaller cell, a larger cell of the same shape has

Question

a. the same surface-to-volume ratio.
b. a smaller cytoplasm-to-nucleus ratio.
c. less surface area.
d. a smaller average distance between its mitochondria and the nucleus.
e. less surface area per unit of volume.

A, C, and E all seem like they could be the correct answer. Could you please help me?? Thank you!

Answer 1

Assume the cell is a sphere. The volume inside a sphere is given by the formula

V = 4/3 pi r^3

where r is the radius of the sphere. This formula was first derived by Archimedes, who showed that the volume of a sphere is two-thirds that of a circumscribed cylinder. (This assertion follows from Cavalieri's principle.) In modern mathematics, this formula is most easily derived using integral calculus, e.g. using disk integration.
The surface area of a sphere is given by the formula

A = 4 pi r^2

This should help you to answer your question. Thanks for asking.

Answer 2

If im understanding your explanation properly, the correct answer is e??

Answer 3

Yup!