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The volume of a cone is given by the formula ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. If the two cones are similar, the ratio of their volumes is equal to the cube of the ratio of their radii. Thus, the ratio of the volumes is ( \left(\frac{9}{1}\right)^3 = 729:1 ).
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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 spheres given that the ratio of their radii is 59?
The ratio of the volumes of two similar spheres is the cube of the ratio of their radii. If the ratio of their radii is 59:1, then the ratio of their volumes is ( 59^3:1^3 ), which is ( 205379:1 ). Thus, the volume ratio of the two spheres is 205379:1.
How The ratio of the heights of two similar cones is 79 Find the ratio of the following Their Radii 2) Their Volumes 3) The areas of their bases?
Not enough information has been given but the volume of a cone is 1/3*pi*radius squared *height and its base area is pi*radius squared
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 cylinders given that the ratio of their heights and radii is 23?
For two similar cylinders, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions, such as height and radius. Given that the ratio of their heights and radii is 23, the volume ratio will be (23^3). Therefore, the ratio of the volumes of the two cylinders is (23^3:1), which equals (12167:1).
Two similar cones have radii of 4 and 3 respectively What is the ratio of their volumes?
16/9
Two similar cones have radii of 9 and 1 respectively What is the ratio of their volumes?
729:1
If two cones are similar and the ratio between the lengths of their radii is 7 3 what is the ratio of their surface area?
7:3
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 volume of two similar spheres given that the ratio of their radii is 5 9?
3/4
What is the ratio for the volumes of two similar spheres given that the ratio of their radii is 59?
The ratio of the volumes of two similar spheres is the cube of the ratio of their radii. If the ratio of their radii is 59:1, then the ratio of their volumes is ( 59^3:1^3 ), which is ( 205379:1 ). Thus, the volume ratio of the two spheres is 205379:1.
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
How The ratio of the heights of two similar cones is 79 Find the ratio of the following Their Radii 2) Their Volumes 3) The areas of their bases?
Not enough information has been given but the volume of a cone is 1/3*pi*radius squared *height and its base area is pi*radius squared
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.
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 ratio of the radius of the spheres is 1.3 find the ratio of their volume?
If the ratio of the radii is 1:3 then the ratio of volumes is 1:27.
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.
