SOLUTION: Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value
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Question 647324: Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be
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300% more = 4 times the area.
Area is a function of r^2, so r = 2 times.
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Volume is a function of r^3 --> B has 8 times the volume of A
A's volume is 7/8 less than B's --> 87.5% less volume
k = 87.5
