2007-06-05 06:19:19 · 5 answers · asked by nicole s 1 in Science & Mathematics ➔ Mathematics
27:64
2007-06-05 06:21:49 · answer #1 · answered by rubu 2 · 0⤊ 0⤋
Length ratio = 3:4
Volume ratio = 3^3 : 4^3 = 27:64
[Similarly, the area ratio is 3^2:4^2 = 9:16]
2007-06-05 07:01:27 · answer #2 · answered by Kemmy 6 · 0⤊ 0⤋
Since you are told the cynlinders are similar, the ratio of their heights (or radii or diameters) is called the scale factor. If you cube the scale factor, you get the ratio of the volumes, so (3/4)^3 = 27/64.
Additionally, for future reference, if you square the scale factor, it is the ratio of the surface areas.
2007-06-05 06:52:02 · answer #3 · answered by Kathleen K 7 · 0⤊ 0⤋
ratio = 4³ / 3³ = 64 / 27
This may be proved as follows:-
Cylinder 1
h = 3cm
r = r
V1 = (4/3).Ï.r².3
V1 = 4.Ï.r²
Cylinder 2
h = 4 cm
r = (4/3).r
V2 = (4/3).Ï.(4r/3)² x 4
V2 = 4^(4).Ï.r² / 27
V2/V1 = 4^4 / (4 x 27)
V2/V1 = 4³ / 27
V2/V1 = 64 / 27
2007-06-05 06:54:45 · answer #4 · answered by Como 7 · 0⤊ 0⤋
3:4
They are the same as the height as long as they have the same diameter.
2007-06-05 06:27:08 · answer #5 · answered by devilishblueyes 7 · 0⤊ 1⤋