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?

The factor is .

Step-by-step explanation:

Given : 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.

To find :  The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

Solution :

Let x be the factor.

So, according to question,

  ........[1]

The dimension refer here are radius of both cylinders.

In cylinder A,

Circumference of base is units.

Circumference of base of cylinder is

The dimension of cylinder A is r=2

In cylinder B,

Area of cylinder is units.

Area of base of cylinder is

The dimension of cylinder B is r=3

Substitute in [1]

Therefore, The factor is .

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.