Two cylinders are similar. the radius of cylinder a is 5.6 inches. the radius of cylinder b is 1.4 inches. if the height of cylinder b is 4 inches, what is the height of cylinder a

The answer is 16 inches.

Let r be a radius and h be a height of a cylinder
Since the cylinders are similar, then the ratio between their radiuses is equal to the ratio of their heights:
r1 : r2 = h1 : h2

Cylinder A:
r1 = 5.6 in
h1 = ?

Cylinder B:
r2 = 1.4 in
h2 = 4 in

5.6 : 1.4 = h1 : 4
h1 = 4 * 5.6 : 1.4
h1 = 16 inches

Idon’t know actually i’m in 5th grade and don’t know