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The radii of two circular cylinders are in the ratio 2 3 and their height are in ratio 5 4 calculate the ratio of their volumes?
Let the radius of the first be 2r; then the radius of the second is 3r Let the height of the first be 5h; then the height of the second is 4h volume cylinder = π × radius² × height → volume first = π × (2r)² × 5h = 20πr²h → volume second = π × (3r)² × 4h = 36πr²h → ratio of their volumes is: 20πr²h : 36πr²h = 20 : 36 (divide by πr²h) = 5 : 9 (divide by 4)
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
What is the ratio of the circumferences of two wheels if the ratio of their radii is 2 to 3?
The ratio of all lengths is the same. The ratio of the circumferences = ratio of the radii = 2:3
Consider the following geometric solids. A sphere with a ratio of surface area to volume equal to 0.3 m-1. A right circular cylinder with a ratio of surface area to volume equal to 2.1 m-1. What resul?
The rate of diffusion would be faster for the right cylinder.
Consider the following geometric solids. a sphere with a ratio of surface area to volume equal to 0.15 m-1 a right circular cylinder with a ratio of surface area to volume equal 2.2 m-1 what results w?
C- The rate of diffusion would be faster for the right cylinder
What is the ratio of the volume of a cylinder to the volume of a cylinder having the same height but twice the radius?
1 to 4
What is the ratio of the volume of such a cylinder to the volume of one having twice the height but the same radius?
2 to 1
Calculate surface area to volume ratio cylinder?
The formula for the surface area of a cylinder is 2πr² + 2πrh, where r is the radius and h is the height. The formula for the volume of a cylinder is πr²h. The surface area to volume ratio can be calculated by dividing the surface area by the volume.
The radii of two circular cylinders are in the ratio 2 3 and their height are in ratio 5 4 calculate the ratio of their volumes?
Let the radius of the first be 2r; then the radius of the second is 3r Let the height of the first be 5h; then the height of the second is 4h volume cylinder = π × radius² × height → volume first = π × (2r)² × 5h = 20πr²h → volume second = π × (3r)² × 4h = 36πr²h → ratio of their volumes is: 20πr²h : 36πr²h = 20 : 36 (divide by πr²h) = 5 : 9 (divide by 4)
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 9 and 1 what is the ratio of their volume?
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 ).
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 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 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 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
What is the height radius and base of a cylinder with a volume of 1 cubic meters?
It depends on the ratio between the base and the height. Bh=A, and B=(pi)(r2)
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
