Question

the radii of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:4 then find the ratio of their curved surface areas​

Answer 1

Answer:

Let the radii of 2 cylinders be 2r and 3r respectively and their heights be 5h and 4h respectively.

Let S1​ and S2​ be the curved surface areas of two cylinders.

S1​→ CSA of cylinder of radius 2r and height 5h=S1​=2×π×2r×5h=20πrh

S2​→ CSA of cylinder with radius 3r and height 4h=S2​=2×π×3r×4h=24πrh

∴​S1/S2​​=20πrh​/24πrh=5​/6

∴S1​:S2​=5:6.

Explanation:

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