What is the height of a cylinder when the diameter is 6 centimeters and the volume is 342 centimeters cubed?

V = Bh or V = πr^2h

Since diameter is 6 cm, then radius is 3 cm. Substitute what you know into the formula and you have:

342 cm^3 = π[(3 cm)^2]h

342 cm^3 = π(9 cm^2]h divide by 9 cm^2 to both sides

38 cm = πh divide by π to both sides

38 cm/π = h or

h = 38 cm/π

h ≈ 12 cm