Question

two right circular cylinder of equal volume have their height in the ratio 4:9. find the ratio of their curved surface area

Answer 1

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Answer 2

The ratio of their curved surface area is 2:3

Given data :

They have equal volume.

Height ratio = 4:9

Let the variable = h

So,their heights are = 4h and 9h

Let,the ratio = r and R

Now,

πr²4h = πR²9h

4r² = 9R²

r²/R² = 9/4

r/R = 3/2

r:R = 3:2

So,

The ratio of their curved surface area = 2πr4h : 2πR9h

= 4r/9R

= (4×3)/(9×2)

= 12/18

= 4/6

= 2/3

= 2:3 (answer)