Posted by **Cell size and shape** on Monday, March 30, 2009 at 7:51pm.

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

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!

- Biology -
**PsyDAG**, Monday, March 30, 2009 at 8:00pm
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.

- Biology -
**Cell size and shape**, Monday, March 30, 2009 at 8:05pm
If im understanding your explanation properly, the correct answer is e??

- Biology -
**PsyDAG**, Wednesday, April 1, 2009 at 2:59pm
Yup!

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