The radii of two right circular cylinders are in the ratio 2:3 and their height in the ratio of 5:4.calculate the ratio of their curved surface areas and also the ratio of their volumes.
Answers
Answered by
18
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
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
Similar questions