Half Cylinder Volume Calculator





Formula

The formula to calculate the volume of a half cylinder is:

\[ V = \frac{\pi \cdot r^2 \cdot h}{2} \]

Where:

What is a Half Cylinder Volume?

A half-cylinder volume refers to the amount of space that a half-cylinder can hold. A half cylinder is essentially a cylinder that has been cut in half lengthwise. The volume of a half cylinder can be calculated using the formula for the volume of a full cylinder, which is \(V = \pi r^2 h\), and then dividing the result by 2.

Example Calculation

Let's assume the following values:

Step 1: Calculate the volume of the half cylinder:

\[ V = \frac{\pi \cdot 4^2 \cdot 10}{2} = \frac{\pi \cdot 16 \cdot 10}{2} = \frac{160 \pi}{2} = 80 \pi \approx 251.33 \text{ cubic units} \]

Therefore, the volume of the half cylinder is approximately 251.33 cubic units.