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.
Not enough information has been given but the volume of a cone is 1/3*pi*radius squared *height and its base area is pi*radius squared
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.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
The volume ( V ) of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius. If the ratio of the radii of two spheres is 58, then the ratio of their volumes is given by ( \left(\frac{r_1}{r_2}\right)^3 = 58^3 ). Therefore, the ratio of the volumes of the two spheres is ( 58^3 ), which equals 195112.
It is 27 : 343.
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
It is 8 : 343.
Not enough information has been given but the volume of a cone is 1/3*pi*radius squared *height and its base area is pi*radius squared
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
Volume is normally used as a measurement in relation to other volumes, or as a sum or total amount. As relational measurements, volume might be in a form similar to a recipe, or it might be given as percentages.
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Given that the ratio of their edges is 3.11, the ratio of their volumes would be (3.11^3). Calculating this, the volume ratio is approximately 30.3. Thus, the volume of the larger pyramid is about 30.3 times that of the smaller pyramid.
274,625. The volume formula is lwh/3, so if the sides are 65x longer, the volume will be (65^3)x larger, or 274,625.
This question has no definitive answer because there are no volumes given.
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
You can measure it. Or you can calculate it. The details of the calculation depend on what information is given.