The ratio of the volumes of two spheres is 8:27. What i... – Arithmetic

Arithmetichard · Past Paper

The ratio of the volumes of two spheres is 8:27. What is the ratio of their surface areas?

A2:3

B4:9

C16:81

D4:6

✓ Correct Answer: B — 4:9

Volume ratio (r1/r2)^3 = 8/27 => radius ratio r1/r2 = 2/3. Surface area ratio = (r1/r2)^2 = 4:9.

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