Question

Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm. What is the ratio of the volume of Pipe A to the volume of Pipe B?

3:1
9:1
27:1
81:1

Answer 1

Answer: 27:1

Explanation:

We know that the volume of cylinder is given by :-

`V=\pi r^2 h`, where r is radius and h is height of the cylinder.

Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .

The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

`(V(A))/(V(B))=(6^3)/(2^3)=(27)/(1)`

Hence, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1