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The solids are similar. Find the missing dimension.
d
12ft.
8in.
3ft.

The solids are similar. Find the missing dimension. d 12ft. 8in. 3ft.-example-1

1 Answer

4 votes

Answer:

32 in

Explanation:

You want the missing diameter of the smaller of two similar cylinders, where the larger is 12 ft in diameter and 3 ft high, while the smaller is 8 inches high.

Similar figures

The linear dimensions of similar figures have the same ratio.

The ratio of the diameter to the height of the larger figure is ...

(12 ft)/(3 ft) = 4

The smaller figure will also have a diameter that is 4 times the height:

d = 4 × 8 in = 32 in

The missing dimension is 32 inches.

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