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

I beilieve its 3:1. I am not completely sure though

Answer 2

Answer: 27:1

Step-by-step 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 :-

$\dfrac{V(A)}{V(B)}=\dfrac{6^3}{2^3}=\dfrac{27}{1}$

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