Question

Two right circular cylinders of equal volumes have their heights in the ratio 4 : 9. Find the ratio of their
radii. li radius of one right circular cylinder is 4 cm then what is radius of the other right circular cylinder.​

Answer 1

Answer:

Given:

ratio of two right circular cylinders heights=4:9

We know that, volume of cylinder=πr²h

let the heights of the cylinders be 4x ,9x

From the problem,

22/7×4×4×4x=22/7×r²×9x

1048x/7=198x×r²/7

1048x=198x×r²

1048x/198x=r²

5.2929=r²

r=√5.2929

r=2.3 cm.