Use the image to answer the question.

Question

An illustration shows a right circular cylinder with an axis measuring 5 centimeters and diameter measuring 10 centimeters.

What is the height of the cylinder shown?

(1 point)
cm

Answer 1

To find the height of the cylinder, we need to use the formula for the volume of a cylinder. The volume of a cylinder is given by the formula:

Volume = π * radius^2 * height

In the given illustration, the diameter of the cylinder is 10 centimeters, which means the radius is half of that, or 5 centimeters. We are also given that the axis (which is the height) measures 5 centimeters.

Plugging these values into the formula, we have:

Volume = π * 5^2 * 5
Volume = 25π * 5
Volume = 125π cm^3

So, the height of the cylinder shown in the illustration is 5 centimeters.