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The cylinders are similar. The volume of the larger cylinder is 1600 cubic centimeters. What is the volume of the smaller cylinder? A. 15 cm^3 B. 25 cm^3 C. 14 cm^3 D. 11 cm^3

The cylinders are similar. The volume of the larger cylinder is 1600 cubic centimeters. What is the volume of the smaller cylinder? A. 15 cm^3 B. 25 cm^3 C. 14 cm^3 D. 11 cm^3
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The cylinders are similar. The volume of the larger cylinder is 1600 cubic centimeters. What is the volume of the smaller cylinder?

A. 15 cm^3
B. 25 cm^3
C. 14 cm^3
D. 11 cm^3

The cylinders are similar. The volume of the larger cylinder is 1600 cubic centimeters-example-1
asked
User Zwlayer
by
8.6k points

1 Answer

2 votes
ratio lengths = 16/4 =4/1

ratio volumes = (ratio lengths)³
ratio volumes = V(larger)/V(smaller)

 V(larger)/V(smaller)=(ratio lengths)³
1600/V(smaller)=4³/1
V(smaller)=1600/4³=25 cm³

Answer: B. 25 cm³
answered
User Enrico Borba
by
8.4k points
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