The formula to calculate the volume of a half cylinder is:
\[ V = \frac{\pi \cdot r^2 \cdot h}{2} \]
Where:
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.
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.
