Question

The volume of a cylinder is 9077 cm³. If the radius is 3 cm, what is the height of the cylinder?

3 cm
Please record your work/justification on your paper or document
5 cm
15 cm
30 cm
O 10 cm

Answer 1

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.