two cylinder have same laterial surface area the radi are in ratio 3:2 find the ratio of height of the cylinder
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the ratio. of height is 3:2
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L. S. A of cylinder=2*22/7*rh
r1:r2=3:2
2*22/7*r1*h1=2*22/7*r2*h2
r1*h1=r2*h2
r1/r2=h2/h1
h2/h1=3/2
h1:h2=2:3
Ratio of heights of two cylinders=2:3
r1:r2=3:2
2*22/7*r1*h1=2*22/7*r2*h2
r1*h1=r2*h2
r1/r2=h2/h1
h2/h1=3/2
h1:h2=2:3
Ratio of heights of two cylinders=2:3
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