Question

Two spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?

64π cm2
96π cm2
128π cm2
256π cm2

Answer 1

Volume ratio = 64π / 8π = 8, so linear scale factor = 8^(1/3) = 2. Surface area scales by the square of that, 2^2 = 4. Thus surface area = 4·16π = 64π cm².

Answer: 64π cm².