Question

the radii of two right circular cylinders are in the ratio 2:3 and their heights are in ratio 5:4 calculate the ratio of their curved surface area.
pls answer with steps...........

Answer 1

Solution:-
Let the radius and height of the  two cylinders be 'r1' and 'r2' and 'h1' and 'h2' respectively.
Given : The radii of two right circular cylinder are in the ratio 2 : 3 and height in the ratio 5 : 4
Therefore,
r1/r2 = 2/3 and h1/h2 = 5/4
So, 
Curved surface area/curved surface area
= 2πr1h1/2πr2h2  
= (r1/r2) (h1/h2) 
= (2/3) (5/4)
= 5/6
So, the ratio of their curved surface area is 5 : 6