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?© BrainMass Inc. brainmass.com March 4, 2021, 6:13 pm ad1c9bdddf
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, ...
The expert finds the volume of large sphere given surface area and sum of volumes. The solution is explained simply and with complete equations.