Question

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 9л units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

Answer 1

`(3)/(2)` ( the third choice)

Explanation:

Let
`r_a` be the radius of cylinder A and let
`r_b` be the radius of cylinder B. We assume the heights of both cylinders are the same

Base circumference of cylinder A =
`2\pi r_a = 4\pi == > r_a = 2`

Base area of cylinder B =
`\pi (r_b)^2 = 9\pi == > r_b = √(9) = 3`

In order to have
`r_a` (2) have the same value as
`r_b` (3) we must multiply by a factor of
`(3)/(2)`