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Question 69
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 is 2 : 1. What is the respective ratio of volumes 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.
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