Question

two cylinders have same lateral surface area . their radii are in the ratio 3:2 find the ratio of their heights

Answer 1

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Answer 2

Hi ,

Let R , r are radii of two cyliders and

H , h are their heights ,

R : r = 3 : 2

R/r = 3/2 ---( 1 )

Ratio of lateral surface areas of two

Cyliders = 1

( 2πRH ) / ( 2πrh ) = 1

( RH ) / ( rh ) = 1

( R / r ) ( H / h ) = 1

( 3/2 ) ( H / h ) = 1

H / h = 2/3

H : h = 2 : 3

I hope this helps you.

: )