Question

two cylinder have same latetal surface area their radius on is the ratio 3 ratio 2 find the ratio of the height​

Answer 1

Answer:

ratio of the height of two cylinders is 2:3

Step-by-step explanation:

Given,

r(1) : r(2) = 3:2= x

so, r(1) = 3x and r(2) = 2x

lateral surface area of 1st cylinder = lateral surface area of 2nd cylinder

so, 2pi r(1) h(1) = 2pi r(2) h(2)

2pi (3x) h(1) = 2pi (2x) h(2)

[2pi cancels out ]

3x h (1) = 2x h(2)

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

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

hence, ratio of the height of two cylinders is 2:3