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
Question
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
Solution
The question seems to be a bit confusing as the ratios are not clearly defined. However, if we assume that the ratio of the radii of two cylinders is 2:1 and the ratio of their heights is 1:2, then we can find the ratio of their volumes.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
If we denote the radius and height of the first cylinder as r1 and h1, and the radius and height of the second cylinder as r2 and h2, then the volume of the first cylinder (V1) is π(r1)²h1 and the volume of the second cylinder (V2) is π(r2)²h2.
Given that r1/r2 = 2/1 and h1/h2 = 1/2, we can substitute these ratios into the volume formulas to get:
V1/V2 = (π(r1)²h1) / (π(r2)²h2) = (2/1)² * (1/2) = 2.
So, the ratio of the volumes of the two cylinders is 2:1.
Similar Questions
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 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
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
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
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
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.