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?

  1.5

Step-by-step explanation:

The radius of cylinder B can be found using the formula for area:

  A = πr²

  9π = πr² . . . substitute given area for cylinder B

  9 = r² . . . . divide by π

  3 = r . . . . . take the square root

Then the circumference of cylinder B is ...

  C = 2πr = 2π·3 = 6π

The scale factor from cylinder A to cylinder B is then ...

  scale factor = (B circumference)/(A circumference)

  scale factor = (6π)/(4π) = 3/2

Cylinder A dimensions are multiplied by 1.5 to produce the dimensions of Cylinder B.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.