1.

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 ?1). 2 : 32). 3 : 53). 5 : 84). 4 : 5

Answer»

Solution

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



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