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Answer:
275 ft³
Step-by-step explanation:
Given the ratio of radii of 2 similar figures = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 2 , so
ratio of volumes = 5³ : 2³ = 125 : 8
Calculate the volume (V) of A using proportion
[tex]\frac{125}{V}[/tex] = [tex]\frac{8}{88}[/tex] = [tex]\frac{1}{11}[/tex] ( cross- multiply )
V = 275 ft³
That is the volume of figure A = 275 ft³