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How do the dimensions and volume of similar rectangular prisms compare?
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
If two similar prisms have volumes of 125 cm3 and 9 cm3 what is the side ratio of the two prisms?
If the sides of two shapes are in the ratio of A : B, then their volumes are in the ratio A3 : B3, thus: ratio of volumes = 125 : 9 ratio of sides = 3√125 : 3√9 ~= 5: 2.08 (~= 2.4 : 1) Have you got the volumes correct? I suspect the second should be 8cm3 not 9cm3, because then the volumes would be 125cm3 and 8cm3 and: ration of volumes = 125 : 8 ratio of sides = 3√125 : 3√8 = 5 : 2 (= 2.5 : 1)
If two cylinders are similar and the ratio between the alititude lengths is 2 to 3 what is the ratio of their volumes?
If two cylinders are similar, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Given that the ratio of the altitudes (heights) of the cylinders is 2 to 3, the ratio of their volumes is ( \left(\frac{2}{3}\right)^3 = \frac{8}{27} ). Thus, the ratio of the volumes of the two cylinders is 8:27.
How can you find the ratio of radius of two cones when you have the ratio of volumes of that two cones?
You cannot because the volumes of the cones also depend on their heights.
How do you find the ratio of two similar cones that have heights of 9cm and 4cm?
The ratio of their heights is 9:4
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.
How do the dimensions and volume of similar rectangular prisms compare?
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
If two similar prisms have volumes of 125 cm3 and 9 cm3 what is the side ratio of the two prisms?
If the sides of two shapes are in the ratio of A : B, then their volumes are in the ratio A3 : B3, thus: ratio of volumes = 125 : 9 ratio of sides = 3√125 : 3√9 ~= 5: 2.08 (~= 2.4 : 1) Have you got the volumes correct? I suspect the second should be 8cm3 not 9cm3, because then the volumes would be 125cm3 and 8cm3 and: ration of volumes = 125 : 8 ratio of sides = 3√125 : 3√8 = 5 : 2 (= 2.5 : 1)
If two cylinders are similar and the ratio between the alititude lengths is 2 to 3 what is the ratio of their volumes?
If two cylinders are similar, the ratio of their volumes is the cube of the ratio of their corresponding linear dimensions. Given that the ratio of the altitudes (heights) of the cylinders is 2 to 3, the ratio of their volumes is ( \left(\frac{2}{3}\right)^3 = \frac{8}{27} ). Thus, the ratio of the volumes of the two cylinders is 8:27.
How can you find the ratio of radius of two cones when you have the ratio of volumes of that two cones?
You cannot because the volumes of the cones also depend on their heights.
How is the ratio of the volumes related to the ratio of corresponding dimensions?
The answer depends on whether or not the shapes are similar. If they are, then the ratio of volumes is the cube of the ratio of the linear dimensions.
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.
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.
What is the volume of the larger of two similar rectangular prisms if the smaller prism has a volume of 24 cu cm and a base of 4 cm while the larger prism has a base of 12 cm?
As the two prisms are similar there are ratios between them. The ratio of the lengths is 4 : 12 = 1 : 3 The ratio of volumes is the cubs of the ratio of lengths. → The volumes are in the ratio of 1³ : 3² = 1 : 27 As the a smaller prism has a volume of 24 cm³, the larger prism has a volume 27 times larger → volume larger prism = 27 × 24 cm³ = 648 cm³
How do you find the ratio of two similar cones that have heights of 9cm and 4cm?
The ratio of their heights is 9:4
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 of the height of two similar cones with a surface area ratio of 4 over twenty five?
Where objects are SIMILAR (scale versions of each other) then the ratio of linear measurements is a : b, the ratio of areas is a2 : b2 and the ratio of volumes is a3 : b3. As the area ratio is 4 : 25 = a2 : b2 = 22 : 52 then the ratio of their heights is a : b = 2 : 5.
