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What is the ratio for the volumes of two similar cylinders?

Answer and Explanation: The ratio of their heights and radii of two similar cylinders is 2:3 .

What is ratio of volumes?

Ratio of Volumes (cube units) If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides. (Note that volume is not a “length” measurement – it is a 3-D measurement.)

How do you find similarity ratios?

If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.

What is ratio of similarity?

The RATIO OF SIMILARITY between any two similar figures is the ratio of any pair of corresponding sides. Simply stated, once it is determined that two figures are similar, all of their pairs of corresponding sides have the same ratio.

What is the similarity ratio of similar triangles?

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5.

How do you find the similarity ratio of two rectangles?

For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides. However, the left ratio in our proportion reduces. We can then solve by cross multiplying.

What is the ratio of the areas of the two rectangles?

If the ratio of the perimeters of two rectangles is 4:7, then the ratio of their areas must be 16:49. If two quadrilaterals are similar, then their areas must be in the same ratio as the square of the ratio of their perimeters. smaller rectangle has area of 28 un2, what is the area of the larger rectangle.

Are these two rectangles similar?

Rectangles are similar if the length of the corresponding sides form a proportion This proportion is called scale factor. To find if two rectangles are similar, we need to find the ratio between the corresponding sides. If the ratios are equal, then the rectangles are similar.