Two spheres have volumes of 87pi cm³ and 64pi cm³. If the surface area of the smaller sphere is 16pi cm², what is the

Mathematics

1 answer:

svetlana [45]2 years ago

8 0

The surface area of the large sphere is 128π cm²

<h3>Complete question</h3>

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?

<h3>How to determine the larger area?</h3>

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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