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Can someone please help me with these math questions?

Are these solids similar? If so, what is the scale factor?

Can someone please help me with these math questions? Are these solids similar? If-example-1
User RyanZim
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Note, if you have a linear scale, then the surface will be the square of this scale & the volume will be the cube of the linear

1) spheres. Yes they are similar. The linear scale factor is 8/5 & the ratio of the corresponding volumes is 8³/5³ =512/125

2) They are not similar since te ratio of te corresponding sides have different ratio

3) The linear scale is 1/2 so the ratio of their respective are will be 1/2² (=1/4) & the volume ratio will be 1/2³ (=1/8)
So the area of the second similar figure = 208x1/4 =52 in²
and the volume = 24 in³

4) Linear scale =3/4. Square Ration =9/16 (3²/4²) & Volume Ratio =27/64 (3³/4³)

So the area of the second similar figure = (9/16π) x96=54π in²
and the volume = (27/64π) x96 = 40.5π in³



User Sevenless
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