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

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?

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 solution is explained simply and with complete equations.

$2.19