MathMaster Blog

A cylinder is a three-dimensional shape with two identical bases that are congruent and parallel. The volume of a cylinder is measured in cubic units such as cm3, m3, in3, etc. Use one of these formulas to find the volume of a cylinder based on its type:

Example 1:

What is the volume of a given cylinder?

Solution:

The formula for the volume of a cylinder is

where r is the radius and h is the height.

So, V = (3.14)(3)(3)(10).

Answer: V = (3.14)(9)(10)

Example 2:

Find the volume of the cylinder shown. Round to the nearest cubic centimeter.

Solution:

Use the formula for the volume of a cylinder:

V = Bh or V = π * (r^2) * h

The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula:

V = π(3)^2(15)

Now, we need to simplify:

V = π(64)(15) ≈ 424

Answer: The volume of the cylinder is about 424 cubic centimeters.