Are the cylinders similar?
First Cylinder:
Radius: 2.4
Height: 8.5
Second Cylinder:
Radius: 3.84
Height: 13.6
No, the cylinders are not similar because they have different dimensions. Similar cylinders have the same shape but different sizes.
To determine if the cylinders are similar, we need to compare their corresponding dimensions. Two cylinders are considered similar if the ratios of their corresponding dimensions (radius and height) are equal.
Let's compare the ratios of the radii:
Radius ratio = (radius of first cylinder) / (radius of second cylinder)
= 2.4 / 3.84
= 0.625
Next, let's compare the ratios of the heights:
Height ratio = (height of first cylinder) / (height of second cylinder)
= 8.5 / 13.6
≈ 0.625
The radius ratio and height ratio are both approximately 0.625. Since these ratios are equal (or very close), we can conclude that the two cylinders are similar.