Question

the volume of the right circular cylinder are equal. if the height are in the ratio 9:4. then find the ratio of their radii​

Answer 1

vol1= vol2

heights are in the ratio of 9:4

H/h=9/4

H=9h/4

and R and r be the radius respectively

thus,

πR²H=πr²h

R²×9h/4= r²×h

R²/r²= 4/9

R/r = √2²/√3²= 2/3

ratio of their radii is 2:3