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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:

V is the volume of the half cylinder
r is the radius of the base of the half cylinder
h is the height of the half cylinder

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:

Radius (r): 4 units
Height (h): 10 units

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.