Two cylinders have same lateral surface area.Their radii are in the ratio 3:2.Find the ratio of height of first cylinder to that of second cylinder.
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given,
ratio of r:R=3:2=>r/R=3/2=>r=3R/2
two cylinders have same lateral surface area
CSA of first cylinder=CSA of second cylinder
2πrh=2πRH
3R/2 * h= RH
h/H=R * 2/3R
h/H=2/3
h:H=2:3
HOPE U CAN UNDERSTAND
ratio of r:R=3:2=>r/R=3/2=>r=3R/2
two cylinders have same lateral surface area
CSA of first cylinder=CSA of second cylinder
2πrh=2πRH
3R/2 * h= RH
h/H=R * 2/3R
h/H=2/3
h:H=2:3
HOPE U CAN UNDERSTAND
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