A spherical cell has radius . A second spherical cell has radius . How does the surface-area-to-volume ratio of the larger cell compare with the smaller cell?
Answer and explanation
Correct answer: C. It is half as large
- Step 1: For a sphere, surface area and volume , so the ratio is .
- Step 2: Doubling the radius halves the ratio ( to per m).
Answer
It is half as large.
Why not the others: It is twice as large: inverts the comparison. It is the same: the ratio changes with size. It is a quarter as large: uses the square of the radius ratio.
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