Question 8 of 20
Use the image to answer the question.
The cylinders shown below are similar.
Two cylinders are shown side by side. The first cylinder has a height of 3 inches and a radius of 1 inch. The second cylinder has a height of 9 inches and a radius of 3 inches.
What is the ratio of their side lengths?
A.
1
27
B.
3
27
C.
1
9
D.
1
3
D. 1:3
To find the ratio of their side lengths, we can compare the height of the first cylinder to the height of the second cylinder.
The first cylinder has a height of 3 inches, and the second cylinder has a height of 9 inches.
So, the ratio of their side lengths is 3 inches : 9 inches, which simplifies to 1 inch : 3 inches.
Therefore, the correct answer is:
D. 1 : 3
To find the ratio of the side lengths of the two cylinders, we can divide the height of one cylinder by the height of the other cylinder. In this case, we need to divide the height of the second cylinder (9 inches) by the height of the first cylinder (3 inches):
Ratio = (Height of second cylinder) / (Height of first cylinder)
Ratio = 9 / 3
Simplifying the ratio gives:
Ratio = 3
Therefore, the ratio of their side lengths is 3.
The correct answer is:
D. 1/3