Question

Two spheres have volumes of 87pi cm³ and 64pi cm³. If the surface area of the smaller sphere is 16pi cm², what is the
surface area of the larger sphere?
O 64pi cm²
O 96pi cm²
O 128pi cm²
O 256pi cm²

Answer 1

The surface area of the large sphere is 128π cm²

Complete 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?

How to determine the larger area?

The given parameters can be represented using the following ratio:

Small Area : Large Area = Small Volume : Large Volume

Substitute the given parameters

16π : Large Area = 8π : 64π

Express as fraction

Large/16π = 64π/8π

Multiply both sides by 16π

Large = 128π

Hence, the surface area of the large sphere is 128π cm²

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