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 volumes?
A.
1
27
B.
3
27
C.
1
9
D.
1
3
1 answer
The ratio of volumes of two similar cylinders is equal to the cube of the ratio of their corresponding radii. In this case, the ratio of radii is 3:1, so the ratio of volumes is (3/1)^3 = 27. Therefore, the answer is A. 1/27.
1 answer