The respective ratio of radii of two right circular cylinders (A and B) is 4 : 5. The respective ratioof volume of cylinders A and B is 12 : 25. What is the respective ratio of the heights of cylinders A and B ?

Volume of a cylinder =$$\pi r^2 h$$
where r and h are the radius and height of the cylinder respectively.
The ratio of volumes and ratio of radii of the two cylinders is given.
Ratio of square of their radii = 16 : 25
Therefore the ratio of their heights $$h_1$$ : $$h_2$$ = $$12 \times 25$$ : $$16 \times 25$$
where $$h_1$$ and $$h_2$$ are the heights of two cylinders.
the ratio of their heights = 12 : 16 = 3 : 4
Option E is the correct answer