Give an example of a physical entity that is not quantized, in that it is continuous and may have a continuous range of values.
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<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
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,
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