Question

Two cylinder have same latersal surface area thier radii are in the ration 3:2 find the ration of their height.?

Answer 1

↑ Here is your answer ↓
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L.S.A of cylinder = $2 \pi rh$

Let the radii of the cylinders be '2x' and '3x'

$2 \pi r_1 h_1 = 2 \pi r_2 h_2$

Cancel '2π'

$3xh_1 = 2xh_2$

Now cancelling out 'x',

$2h_1 = 3h_2$

$h_1/h_2 = 2/3$

∴ The ratio is $2:3$