Question

The ratio of radii two cylinder is 2:3and the ratio of their height is 5:3 the ratio of their volume

Answer 1

Ratio of radii r1:r2 = 2:3
ratio of heights h1:h2 = 5:3
Ratio of volume v1:v2=pi *r1^2*h1 : pi*r2^2*h2

v1/v2 = (pi*r1^2*h1 )/ (pi*r2^2*h2)
v1/v2 = (r1/r2)^2 *(h1/h2)
= (2/3)^2 * (5/3)
= 20/27

Ratio of curved surface=2*pi*r1*h1 : 2*pi*r2*h2
=(r1*h1)/(r2*h2)
=( r1/r2)* (h1/h2)
=(2/3)*(5/3)
= 10/9




Ratio of Volume={(22/7)*2*2*5}/{(22/7)*3*3*3}=20/27
Ratio of their Curved Surfaces
={2*(22/7)*2*5}/{2*(22/7)*3*3} = 10/9
Answers are 20:27 and 10:9

Answer 2

2×2×5/3×3×3=20/27....