SOLUTION: The sum of the volumes of two spheres is 105 pi cubic inches. Their areas have the ratio 4:9. Find the volume of each sphere.
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Question 1049933: The sum of the volumes of two spheres is 105 pi cubic inches. Their areas have the ratio 4:9. Find the volume of each sphere. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The sum of the volumes of two spheres is 105 pi cubic inches. Their areas have the ratio 4:9. Find the volume of each sphere.
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Surface area is a function of the square of the radius.
SA ratio of 4:9 --> radius ratio of 2:3
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Volume is a function of the cube of the radius = 8:27
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8x + 27x = 105pi
x = 3pi
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Volumes = 8*3pi = 24pi, and
27*3pi = 81pi cubic inches.
