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Answer:

The ratio of the radius of the two cylinders is 2:3, so we can call the radius of the first cylinder "2r" and the radius of the second cylinder "3r". Similarly, we can call the height of the first cylinder "5h" and the height of the second cylinder "4h".

The volume of a cylinder is given by the formula V = πr^2h, so the volume of the first cylinder is (π * (2r)^2 * 5h) and the volume of the second cylinder is (π * (3r)^2 * 4h). Therefore, the ratio of their volumes is (π * (2r)^2 * 5h) : (π * (3r)^2 * 4h) = (4πr^2h) : (9πr^2h) = 4 : 9.

The formula of CSA is 2πr*h. Therefore, the CSA of the first cylinder is 2π * 2r * 5h and the CSA of the second cylinder is 2π * 3r * 4h. Hence, the ratio of their CSA is (2π * 2r * 5h) : (2π * 3r * 4h) = (20πr * h) : (24πr * h) = 20 : 24.

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