Question

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. calculate the ratio of their curved surface area

Answer 1

r1=2x and h1=5x
r2=3x and h2= 3x
C.S.A=2×π×(R1)2×H1
=2×π×2X×2X+5X
=40x3π
C.S.A=2×π×(R2)2×H2
=2×3X×3X×3X
=54x3π
40x3π\54x3π
x3 π will be cut and 40:54 will be the answer

Answer 2

HELLO DEAR,


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

I HOPE ITS HELP YOU DEAR,
THANKS