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?

Answer 1

The ratio of the volume of pipe a to the volume of pipe b is 27:1  .

What is cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.

Given that,

Radius of pipe a is 6 cm, and the radius of pipe b is 2 cm.

We know that the volume of cylinder is :- $\pi r^{2}h$

where r is radius and h is height of the cylinder.

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  :-

$\frac{V(a)}{V(b)}=\frac{6^{3} }{2^{3} }$

       = $\frac{27}{1}$

Hence, The ratio of the volume of pipe a to the volume of pipe b is 27:1 .

To learn more about cylinder from the given link:

brainly.com/question/1392572

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