Question

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?

Answer 1

3/2

Explanation:

i said its 3/2

Answer 2

1.5

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.