Question 1151142
<br>
Let r be the radius of cylinder B; then the radius of cylinder A is 3r.<br>
The volume of cylinder B is {{{(pi)(r^2)(h)}}}.<br>
The volume of cylinder A is {{{(pi)((3r)^2)(h) = 9(pi)(r^2)(h)}}}.<br>
So tripling the radius in cylinder A makes the volume 9 times the volume of cylinder B.  If the volumes are to be the same, the height of cylinder A must be 1/9 the height of cylinder B.<br>
ANSWER: The ratio of the heights of cylinders A and B is 1:9.<br>