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343:1

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Q: Two similar cylinders have radii of 7 and 1 respectively. What is the ratio of their volumes?
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Two similar cylinders have radii of 7 and 1 respectively What is the ratio of their volumes?

343:1


Two similar cones have radii of 9 and 1 respectively What is the ratio of their volumes?

729:1


Two similar cones have radii of 4 and 3 respectively What is the ratio of their volumes?

16/9


What is the ratio for the volumes of two similar cylinders given that the ratio of their heights and radii is 3 7?

It is 27 : 343.


Are all cylinders with the same radii similar?

No. To be similar ALL lengths must be in the same ratio. If two cylinders have the same radii, but different heights then the radii have one ratio (1:1) but the heights have a different ratio; thus they are not similar.


What is the ratio for the volumes of two similar spheres given that the ratio of their radii is 27?

If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.


What is the ratio for the volumes of two similar spheres given that the ratio of their radii is 2 7?

It is 8 : 343.


Two similar cones have a radii of 6 and 1 what is the ratio of their volumes?

6 to 1


What is the ratio for the volumes of two similar spheres given that the ratio of their radii is 3 4?

ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64


Are all cylinders the same?

No they have different heights and radii.


Two similar cones have radii of 6 and 1 respectively What is the ratio of their volumes?

6^3=216 The volume of a cone is 1/3*pi*r^2*h. If r and h are each 6 times larger (as they are in this problem), then the volume is 6*6*6 times larger.


If the ratio between the radii of two spheres is 23 then what is the ratio of their volumes?

Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,then the ratio of their volumes will be 233 = 1,2167