The respective ratio of radii of two right circular cylinders (A and B) is 4 : 7. The respective ratio of the heights of cylinders A and B…

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 of the two cylinders will be equal to the ratio of $r^2 h$ of both the cylinders..
For cylinder 1 $r^2 h$ = $4^2 \times 2 = 32$
For cylinder 2 $r^2 h$ = $7^2 \times 1 = 49$
Ratio of their volumes = $\frac{32}{49}$
Option C is the correct 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 of the two cylinders will be equal to the ratio of $r^2 h$ of both the cylinders..
For cylinder 1 $r^2 h$ = $4^2 \times 2 = 32$
For cylinder 2 $r^2 h$ = $7^2 \times 1 = 49$
Ratio of their volumes = $\frac{32}{49}$
Option C is the correct answer.