<h3><u>Question:</u></h3>
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
<h3><u>Answer:</u></h3>
Dimensions of cylinder A are multiplied by
to produce the corresponding dimensions of cylinder B
<h3>
<u>Solution:</u></h3>
Cylinders A and B are similar solids.
The base of cylinder A has a circumference of
units
The base of cylinder B has an area of
units
Let "x" be the required factor
From given question,
Dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B
Therefore, we can say,

<h3><u>Cylinder A:</u></h3>
The circumference of base of cylinder (circle ) is given as:

Where "r" is the radius of circle
Given that base of cylinder A has a circumference of
units
Therefore,

Thus the dimension of cylinder A is radius = 2 units
<h3><u>Cylinder B:</u></h3>
The area of base of cylinder (circle) is given as:

Given that, the base of cylinder B has an area of
units
Therefore,

Thus the dimension of cylinder B is radius = 3 units

Thus dimensions of cylinder A are multiplied by
to produce the corresponding dimensions of cylinder B