The volume of a cylinder is given by the formula:
V = πr²h
Where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 9077 cm³, and the radius is 3 cm. Substituting these values into the formula, we get:
9077 = π(3)²h
Simplifying, we get:
9077 = 27πh
Dividing both sides by 27π, we get:
h = 9077 / (27π)
Using a calculator to approximate the value of h, we get:
h ≈ 35.1 cm
Therefore, the height of the cylinder is approximately 35.1 cm.