# Two Spheres: Find volume of large sphere given surface areas and sum of volumes.

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The areas of two spheres are 49 pi and 81 pi. The sum of their volumes is 11,792. What is the volume of the large sphere?

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#### Solution Preview

Assume that the radius of small one is r and the radius of the large one is R. Then their areas are

For small one, S1=4Pi*r^2

For large one, S2=4Pi*R^2

By hypothesis, ...

#### Solution Summary

The expert finds the volume of large sphere given surface area and sum of volumes. The solution is explained simply and with complete equations.

$2.49