The height of one metallic cylindrical rod is 6 centimeters and its radius is 3 centimeters. The height of a second metallic cylindrical rod is 18 centimeters and its radius is 3 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder

Answer: The ratio of the volume of the second cylinder to the volume of the first cylinder is 3 : 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 metallic cylindrical rod,

Radius = 3 cm

Height = 6 cm

Volume = π * 3² * 6 = 54π cm³

Considering the second metallic cylindrical rod,

Radius = 3 cm

Height = 18 cm

Volume = π * 3² * 18 = 162π cm³

The ratio of the volume of the second cylinder to the volume of the first cylinder is

162π/54π = 3/1