A cylinder has a diameter of 18 inches and a volume of 405 / 2 π cubic inches. What is the height, in inches, of the cylinder? Enter the height in decimal form rounded to the nearest tenth.

The answer is 2.5 inches.

The volume (V) of the cylinder with radius r and height h is: V = π r² h

Let's express it in the terms of h: h = V / (π * r²)

We know that radius is half of the diameter:

r = 18/2 = 9 in

V = 405/2 π in³ = 202.5π in³

h = V / (π * r²)

h = 202.5π / (π * 9²)

h = 202.5π / 81π

h = 2.5 in