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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.

1:21:2
2:12:1
1:11:1
1:41:4

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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.

This problem has been solved

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