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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

Verified Answer :

MichelleReneye

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

JeanaShupp

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

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