The respective ratio of radii of two right circular cylinders (A and B

1.	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 ?1). 25 : 422). 23 : 423). 32 : 494). 30 : 49
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.

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 ?1). 25 : 422). 23 : 423). 32 : 494). 30 : 49

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.

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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 ?1). 25 : 422). 23 : 423). 32 : 494). 30 : 49

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