The cylinder below has a volume of 4,239 cubic centimeters and a height of 6 centimeters.

d ≈ 29.99 cm

Step-by-step explanation:

The volume of a cylinder can be calculated by the formula V = pi * r^2 * h.

V = pi * r^2 * h

We know the volume and the height, so we can use the formula to determine the radius, which can be used to determine the diameter.

4239 = pi * r^2 * 6 (I will add the units later | Divide both sides by 6)

706.5 = pi * r^2 (Divide both sides by pi)

706.5/pi = r^2 (Take the square root of both sides)

sqrt (706.5/pi) = r (r is the radius)

r ≈ 14.99619733762023

The diameter will be double this value.

d ≈ 29.99239467524046

d ≈ 29.99 cm