There are two right circular cylinders. The radius of the first cylinder is 4 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 12 centimeters, and its height is also 5 centimeters. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder

9 : 1

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant

Considering the first cylinder,

Radius = 4 cm

Height = 5 cm

Volume = π × 4² × 5 = 80π cm³

Considering the second cylinder,

Radius = 12 cm

Height = 5 cm

Volume = π × 12² × 5 = 720π cm³

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is

720π/80π = 9/1