Question

The radii of two right circular cylinders are in
the ratio of 4 : 5 and their volumes are in the
ratio of 2 :7. Calculate the ratio of their curved
surface areas.​

Answer 1

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

Answer 2

Answer:

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