The answer to your question is 29.875
We have the following equation:
V = (1/3) * (pi) * (r ^ 2) * (h)
To clear r we must follow the following steps:
1) Divide both sides of the equation by pi*h
2) Multiply both sides of the equation by 3
3) take de square root of both sides of the equation
Since we know the length (L) to width (W) ratio is 3 to 1, we can put the ratio in the form of a fraction and solve for the unknown length (L’).
Therefore we have L/W = 3/1 = L’/33
Moving the width of 33 to the other side of the equation, we have 3/1 * 33 = L’
99/1 = L’
99 = L’
Therefore the length L’ should be 99cm if the width is 33cm.
Let me know if you have any questions.