0
What else can I help you with?
If two cylinders are similar and the ratio between the altitude lengths is 2 3 what is the ratio of their volumes?
8 27
Two similar cones have radii of 9 and 1 respectively What is the ratio of their volumes?
729:1
Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?
The ratios of areas are the squares of the ratio of lengths (and the ratio of volumes are cubes of the ratio of lengths). As the perimeter of the second is twice the perimeter of the first, each length of the second is twice the length of the first, and so the ratio of the lengths is 1:2 Thus the ratio of the areas is 1²:2² = 1:4. Therefore the surface area of the larger prism is four times that of the smaller prism.
Two similar cones have a radii of 6 and 1 what is the ratio of their volumes?
6 to 1
How do you solve this question Two spheres are cut from a certain uniform rock One has radius 4.50 cm The mass of the other is five times greater Calculate its radius?
Since volume = 1/density x mass and as the rock is uniform it has a constant density, the volume is directly related to the mass; meaning that since the mass of the second is 5 times as big as that of the first, the volume of the second is also 5 times as big as that of the first. The ratio of volumes is the cube of the ratio of lengths; so the lengths are in the ratio of the cube root of the ratio of the volumes. The ratio of the volumes in this case is 1:5 giving the ratio of the lengths as 1:3√5 So the second radius is 3√5 (≈ 1.71) times as big as the first, making it 4.50 cm x 3√5 ≈ 7.69 cm.
If two cylinders are similar and the ratio between the altitude lengths is 23 what is the ratio of their volumes?
The ratio of their volumes is 23^3 = 12167.
If two cylinders are similar and the ratio between the altitude lengths is 2 3 what is the ratio of their volumes?
8 27
If two cylinders are similar and the ratio between the lengths of their edges is 3 11what is the ratio of their volumes?
The ratio is 27 : 1331.
If two cylinders are similar and the ratio between the lengths of their edges is 2 5 what is the ratio of their volumes?
As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125
If two pyramids are similar and the ratio between the lengths of their edges is 2 7 what is the ratio of their volumes?
8:343
If two pyramids are similar and the ratio between the lengths of their edges is 3 11 what is the ratio of their volumes?
27:1331
If two pyramids are similar and the ratio between the lengths of their edges is 4 9 what is the ratio of their volumes?
64:729
What is the ratio of the corresponding edge lengths of two similar solids is 49 what is the ratio of their volumes?
If the ratio of side lengths is 49 (that is 49 to 1) then the ratio of their volumes is 493 to 1, which is 117,649 to 1.
Two similar cylinders have radii of 7 and 1 respectively. What is the ratio of their volumes?
343:1
Two similar cylinders have radii of 7 and 1 respectively What is the ratio of their volumes?
343:1
The ratio of the corresponding edge lengths of two similar solids is 49 what is the ratio of their volumes?
64 729
The ratio of the corresponding edge lengths of two similar is 3 7 what is the ratio of their volumes?
27:343
