Cylinders a and b are similar solids. the base of cylinder a has a circumference of 47 units. the base of cylinder b has an
area of 9. units
the dimensions of cylinder a are multiplied by what factor to produce the corresponding dimensions of cylinder b?

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?

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

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

probability for j is 1/4

while

a is 1/6