Question

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B

Answer 1

Answer:

$\frac{3}{2}$ ( the third choice)

Step-by-step 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 = $\pi (r_b)^2 = 9\pi == > r_b = \sqrt{9} = 3$

In order to have $r_a$ (2) have the same value as $r_b$ (3) we must multiply by a factor of $\frac{3}{2}$