If two cylinders are similar and the ratio between the lengths of their edges is 2:5, what is the ratio of their volumes?A.2:5B.4:25C.8:20D.8:125
Question
If two cylinders are similar and the ratio between the lengths of their edges is 2:5, what is the ratio of their volumes?A.2:5B.4:25C.8:20D.8:125
Solution
The volume of a cylinder is given by the formula V=πr²h, where r is the radius and h is the height. If two cylinders are similar, their radii and heights are in the same ratio.
Given that the ratio of the lengths of their edges (which includes radius and height) is 2:5, the ratio of their volumes is the cube of the ratio of their edges.
So, the ratio of their volumes is (2:5)³ = 8:125.
Therefore, the correct answer is D. 8:125.
Similar Questions
If two cylinders are similar and the ratio between the lengths of their edges is 4:3, what is the ratio of their volumes?A.16:27B.4:3C.16:9D.64:27SUBMITarrow_backPREVIOUS
The radii and height of two cylinders are in the ratio 3:2 and 4:5 respectively. Find the ratio of their volumes A)9:5 B)18:10 C)21:25 D)8:3
If the ratio of the radii of two cylinders is 2:12:1 and the ratio of their heights is 1:21:2, find the ratio of their volumes.1:21:22:12:11:11:11:41:4
The diameter of two cylinders, whose volumes are equal, are in the ratio 3:2. Their heights will be in the ratio .Select one:a. 8:9b. 5:6c. 5:8d. 4:9
Two similar cylinders have radii of 7 and 1, respectively. What is the ratio of their volumes?A.35.35:1B.49:1C.343:1D.112:1
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.