Cylinders A and B are similar solids. The base of cylinder A has a circumference of 43 units. The base of cylinder B has an

area of Our units

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

olm

mlr

alor

The formula for the circumference of a circle is

C = 2π·r

or

r = C / (2π)

The radius r of cylinder A is

r = (4π) / (2π) = 2

The formula for the area of a circle is

A = π·r²

or

r = √ (A/π)

The radius of cylinder B is

r = √ (9π/π) = 3

The dimensions of cylinder A must be multiplied by 3/2 to produce the corresponding dimensions of cylinder B.