1. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure. The figures are not drawn to scale.
Figure One: (CYLINDER) Height is 9.9 and radius is 1.3
Figure Two: (CYLINDER) Height is 23.76 and radius is 3.12
A) yes 1:1.2
B) yes 1:1.4
C) yes 1:2.4
D) no
Okay, so I know I have to set up the question like this:
9.9/23.76 and 1.3/3.12, but I don't know where to go from there. Can someone help me?
To determine whether the two figures are similar, you need to compare their corresponding dimensions. In this case, you are comparing the heights and radii of the two cylinders.
To find the similarity ratio, you can set up a proportion using the ratios of the corresponding dimensions:
(9.9/23.76) = (1.3/3.12)
Now, cross-multiply:
9.9 * 3.12 = 23.76 * 1.3
This simplifies to:
30.888 = 30.888
Since both sides are equal, we can conclude that the two figures are similar.
To find the similarity ratio, divide the dimensions of the smaller figure by the corresponding dimensions of the larger figure:
Height similarity ratio = 9.9/23.76 = 0.4167
Radius similarity ratio = 1.3/3.12 = 0.4167
This gives us a similarity ratio of 0.4167 for both the height and radius.
So, the correct answer is A) yes 1:1.2
To determine whether two figures are similar, we need to compare the corresponding dimensions of the figures. In this case, we are comparing the heights and radii of two cylinders.
To find the similarity ratio, we can set up a proportion using the corresponding dimensions:
9.9/23.76 = 1.3/3.12
To simplify the calculation, we can cross-multiply:
(9.9)(3.12) = (23.76)(1.3)
30.888 = 30.888
Since both sides of the equation are equal, we can conclude that the figures are indeed similar.
To find the similarity ratio between the smaller figure and the larger figure, we can take the ratio of the corresponding dimensions:
9.9/23.76 = approximately 1:2.4
Here, the ratio is approximately 1:2.4.
Therefore, the answer to the question is C) yes 1:2.4.
If you divide the other way
23.76/9.9 you will get 1:2.4