V =piR^2 H , Since R=D/2
V= pi (D^2/4)H
V1= pi(D1^2/4) H1 ( Vol first cylinder , Diameter D1 , height H1)
V2= pi(D2^2/4) H2
Divide both
V1/V2 =( D1^2/D2^2) (H1/H2)
V1/V2= (D1/D2)^2 (H1/H2)
V1/V2= (1/2)^2 (3/1)
V1/V2= 3/4
then V1: V2 = 3:4
1
8 27
it depends whether the area of the circles ontop are the same (pie x diameter) if so, yes. if not, no. 64:27 .
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.
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.
729:1
The ratio of their volumes is 23^3 = 12167.
8 27
The ratio is 27 : 1331.
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
The ratio of the diameters are the cube root of the ratio of the volumes. Therefore the diameter ratio is 3 to 5. 33 = 27 53 = 125
it depends whether the area of the circles ontop are the same (pie x diameter) if so, yes. if not, no. 64:27 .
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.
Chemists use graduated cylinders to measure volumes of liquids.
343:1
343:1
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
There are plenty of information you can learn about rectangles. You can learn about their angles, their widths and lengths, as well as their volumes.