Question

If the scale factor of two similar cylinders is 4:7,

what is the volume ratio?
A. 64:343
B. 12:21
C. 16:49
D. 256:2,401

Answer 1

the answer is A. 64:343.

Explanation:

The ratio of the volumes of two similar figures is equal to the cube of the ratio of their corresponding side lengths. Since the scale factor of the two cylinders is 4:7, the ratio of their corresponding radii is 4:7 and the ratio of their heights is also 4:7.

So, the ratio of their volumes is (4/7)^3 = (64/ 343) = 64:343

So, the answer is A. 64:343.